6. Ratio, Proportion, and Triangle Applications

Determine whether the proportion is true or false.

$\frac{1\frac{2}{3}}{3}=\frac{3\frac{1}{3}}{6}$

Write the sentence as a proportion then determine whether the proportion is true or false.

One and eight tenths is to two as four and five tenths is to five.

Express the sentence as a proportion.

A trail map shows 3.6 miles in 1.2 hours, while another section shows 7 miles in $2\frac{1}{3}$ hours.

Solve the proportion using cross products.

$\frac{2.5}{5}=\frac{p}{12}$

Express the sentence as a proportion.

Two thirds is to one fifth as two fifths is to one ninth.

Determine whether the proportion is true or false.

$\frac{2.4}{6}=\frac{1.2}{4}$

Express the sentence as a proportion.

A paint mixture uses 2.5 liters of blue paint for every 4 liters of white paint, and another mixture uses 7.5 liters of blue paint for every 12 liters of white paint.

Solve the proportion using cross products.

$\frac{5}{8}=\frac{k}{24}$

Use cross products to determine whether the proportion is true or false.

$\frac{4}{9}=\frac{12}{27}$

Express the sentence as a proportion.

Ten is to fifteen as four is to six.

Express the sentence as a proportion.

A car travels 80 miles in 2 hours and 120 miles in 3 hours.

Use cross products to determine whether the proportion is true or false.

$\frac{7}{4}=\frac{20}{12}$

Solve the proportion using cross products.

$\frac{\frac{1}{3}}{\frac{3}{8}}=\frac{\frac{2}{5}}{n}$

Express the sentence as a proportion.

A recipe uses 3 cups of rice for 5 cups of broth, and 15 cups of rice for 25 cups of broth.

Write the sentence as a proportion then determine whether the proportion is true or false.

Four bags of flour costs \$12, and eight bags of flour costs \$18.