Finding the Fourth Proportional to 32,400, 48,600 and 7,776
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Solution
The fourth proportional to 32,400, 48,600 and 7,776 is: 11,664
Step by Step Solution
- Step 1: Write the proportion equation
32,400 : 48,600 = 7,776 : x - Step 2: Convert to fraction form
32,400/48,600 = 7,776/x - Step 3: Cross multiply
32,400x = 48,600 × 7,776 - Step 4: Simplify right side
32,400x = 377,913,600 - Step 5: Solve for x
x = 377,913,600/32,400 - Step 6: Final answer
x = 11,664
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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.