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Pre-algebra

Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

$Math Studyset Vaia Explanations$ Math

Common Core Edition · 183 pages

ISBN: 9780547587776

Chapter 6: Q9. (page 288)

Use equivalent ratios to solve the proportion.
$\frac{5}{6} = \frac{x}{30}$

Short Answer

Expert verified

The solution is $x = 25$ .

Step by step solution

01

Step 1. Given

The given proportion is $\frac{5}{6} = \frac{x}{30}$ .

02

Step 2. To determine

We have to solve the proportion using equivalent ratios.

03

Step 3. Calculation

Solve the given proportion.

$\begin{matrix} \frac{5}{6} = \frac{x}{30} \\ \frac{5}{6 \times 5} = \frac{x}{30} [comparedenominators] \\ \frac{5 \times 5}{30} = \frac{x}{30} [find x] \\ x = 5 \times 5 \\ = 25 \end{matrix}$

So, the solution is $x = 25$ .

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