Let \(x\) = price of \(2\frac{1}{2}\) yards of fabric
\(\frac{6\frac{1}{4}}{25.5}=\frac{2\frac{1}{2}}{x}\)
\(\frac{\frac{25}{4}}{\frac{51}{2}}=\frac{\frac{5}{2}}{x}\)
\(\frac{25}{4}\times\frac{2}{51}=\frac{5}{2}\times\frac{1}{x}\)
\(\frac{50}{204}=\frac{5}{2x}\)
\(50\times2x=204\times5\)
\(100x=1020\)
\(x=10.2\)
\(2\frac{1}{2}\) yards of fabric will cost \($10.20\) when \(6\frac{1}{4}\) yards of fabric costs \($25.50.\)