2 &1/4 inches is to 1/4 inches as 60 inches is to what

2.25 / .25 =9

60 /9 =6 2/3

Therefore: 2 1/4:1/4 = 60:6 2/3

\(\dfrac{2\frac{1}{4}\text{ inches}}{\frac{1}{4}\text{ inches}}=\dfrac{60 \text{ inches}}{\text{what}}\)LOL xD

\((2\frac{1}{4}\text{ inches})(\text{what})=(60\text{ inches})(\frac{1}{4}\text{ inches})\)

\(\text{what} = \dfrac{15\text{ inches}^2}{2\frac{1}{4}\text{ inches}}=\color{red}6\frac{2}{3}\text{ inches}\)