# Equivalent Rates

Equivalent ratios show identical values. They can be found by comparison. By comparing two or more ratios with one another, you can find out if they are equivalent or not.

To identify whether two ratios are equivalent or not, you have to write them down as fractions. If they are equal, then so are the ratios.

## A step-by-step guide to finding equivalent rates

### Equivalent Rates – Examples 1

Solve this proportion for $$x$$ to check if these ratios are equivalent.
$$\frac{3}{4}=\frac{6}{x} ,x=_$$
Solution:
Use cross multiplication.
$$\frac{3}{4}=\frac{6}{x} ⇒3×x=6×4⇒3x=24$$
$$x=\frac{24}{3}=8$$

### Equivalent Rates – Examples 2

Solve this proportion for $$x$$ to check if these ratios are equivalent.
$$\frac{5}{10}=\frac{1}{x},x=_$$
Solution:
Use cross multiplication.
$$\frac{5}{10}=\frac{1}{x} ⇒5×x=1×10⇒5x=10$$
$$x=\frac{10}{5}=2$$

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