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Finding the Fourth Proportional to 38,732, 58,098 and 9,548

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Solution

The fourth proportional to 38,732, 58,098 and 9,548 is: 14,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,732 : 58,098 = 9,548 : x
  2. Step 2: Convert to fraction form
    38,732/58,098 = 9,548/x
  3. Step 3: Cross multiply
    38,732x = 58,098 × 9,548
  4. Step 4: Simplify right side
    38,732x = 554,719,704
  5. Step 5: Solve for x
    x = 554,719,704/38,732
  6. Step 6: Final answer
    x = 14,322

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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.