Ratio and Proportion: 9:X :: 5: 300 (Enter numeric value only.)
To solve the proportion 9X=5300\frac{9}{X} = \frac{5}{300}X9=3005 and find the value of XXX, follow these steps:
- Set up the proportion:9X=5300\frac{9}{X} = \frac{5}{300}X9=3005
- Cross-multiply to solve for XXX:9×300=5×X9 \times 300 = 5 \times X9×300=5×X
- Calculate the left side:2700=5×X2700 = 5 \times X2700=5×X
- Solve for XXX:X=27005=540X = \frac{2700}{5} = 540X=52700=540
Explanation:
- Cross-multiplying involves multiplying the numerator of one fraction by the denominator of the other fraction to set the products equal.
- Solving the equation involves isolating XXX by dividing both sides by 5.
Thus, the numeric value for XXX is 540.