x:7=12:20
You asked:
Solve \(x : 7=12 : 20\) for the variable \(x\).
MathBot Answer:
$$\begin{aligned}x &= \frac{21}{5}\end{aligned}$$
Express both ratios as fractions. \[\frac{x}{7} = \frac{12}{20}\]
Cross-multiply and solve for the unknown. $$\begin{aligned}\frac{x}{7} &= \frac{12}{20} \\ 20 x &= 84 \\ x &&= \frac{21}{5} \end{aligned}$$