Finding the Fourth Proportional to 31,434, 47,151 and 9,546
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Solution
The fourth proportional to 31,434, 47,151 and 9,546 is: 14,319
Step by Step Solution
- Step 1: Write the proportion equation
31,434 : 47,151 = 9,546 : x - Step 2: Convert to fraction form
31,434/47,151 = 9,546/x - Step 3: Cross multiply
31,434x = 47,151 × 9,546 - Step 4: Simplify right side
31,434x = 450,103,446 - Step 5: Solve for x
x = 450,103,446/31,434 - Step 6: Final answer
x = 14,319
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.