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Finding the Fourth Proportional to 38,598, 57,897 and 9,414

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Solution

The fourth proportional to 38,598, 57,897 and 9,414 is: 14,121

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,598 : 57,897 = 9,414 : x
  2. Step 2: Convert to fraction form
    38,598/57,897 = 9,414/x
  3. Step 3: Cross multiply
    38,598x = 57,897 × 9,414
  4. Step 4: Simplify right side
    38,598x = 545,042,358
  5. Step 5: Solve for x
    x = 545,042,358/38,598
  6. Step 6: Final answer
    x = 14,121

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.