Question

Solve each proportion. If necessary, round to nearest hundredth.

$\frac{x-3}{5}=\frac{6}{10}$

Short answer

The value is $x=6$.

Step-by-step solution

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Find the cross products.

The given ratios can be simplified by doing cross product:

$\begin{array}{c}\frac{x-3}{5}=\frac{6}{10}\\ 10\left(x-3\right)=\left(6\right)5\end{array}$

Step-3. Simplify for x.

To further simplify, apply distributive property to the right-hand side.

$$\begin{gathered} 10\left(x-3\right)=\left(6\right)5 \\ 10x+10\left(-3\right)=30 \\ 10x-30=30 \\ 10x-30+30=30+30 \\ 10x=60 \\ \frac{10x}{10}=\frac{60}{10} \\ x=6 \end{gathered}$$

Therefore, the value of $x=6$.