If 1:x is equivalent to 6¼:25. Find x

To find x, we first need to set up a proportion:

1:x = 6¼:25

To convert the mixed number 6¼ to an improper fraction, we multiply the whole number by the denominator and add the numerator:

6 × 4 + 1 = 24 + 1 = 25

So, 6¼ is equivalent to 25/4.

Now we plug this into our proportion:

1/x = 25/4 / 25

Now, simplify the right side by dividing:

1/x = 1/4

To solve for x, we take the reciprocal of both sides:

x = 4

Therefore, x is equal to 4.