Chapter 6.2, Problem 9E

To determine

To solve the proportion by using equivalent ratios.

Answer to Problem 9E

The solution of the given proportion is $x=25$ .

Explanation of Solution

Given information : the proportion is given as,

  $\frac{5}{6}=\frac{x}{30}$

Calculation : the given proportion can be calculated as,

  $\begin{array}{l}\frac{5}{6}=\frac{x}{30}\\ \frac{5}{6\times 5}=\frac{x}{30}\left[\text{compare denominators}\right]\\ \frac{5\times 5}{30}=\frac{x}{30}\left[\text{find }x\right]\\ x=5\times 5\\ x=25\end{array}$

Because,

  $\begin{array}{l}5\times 5=25\\ x=25\end{array}$