Use the model $A=P{e}^{rt}$ or $A=P(1+\frac{r}{n}{)}^{nt},$ where $A$ is the future value of $P$ dollars invested at interest rate $r$ compounded continuously or $n$ times per ye for $t$ years.

A $$25,000$ inheritance is invested for $15$ years compounded quarterly and grows to $$52,680.$ Find the interest rate. Round to the nearest percent.