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\frac{4}{489}\times 7824=x
Multiply both sides by 7824.
\frac{4\times 7824}{489}=x
Express \frac{4}{489}\times 7824 as a single fraction.
\frac{31296}{489}=x
Multiply 4 and 7824 to get 31296.
64=x
Divide 31296 by 489 to get 64.
x=64
Swap sides so that all variable terms are on the left hand side.