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Finding the Fourth Proportional to 38,498, 57,747 and 9,314

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Solution

The fourth proportional to 38,498, 57,747 and 9,314 is: 13,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498 : 57,747 = 9,314 : x
  2. Step 2: Convert to fraction form
    38,498/57,747 = 9,314/x
  3. Step 3: Cross multiply
    38,498x = 57,747 × 9,314
  4. Step 4: Simplify right side
    38,498x = 537,855,558
  5. Step 5: Solve for x
    x = 537,855,558/38,498
  6. Step 6: Final answer
    x = 13,971

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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.