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Finding the Fourth Proportional to 38,534, 57,801 and 9,350

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Solution

The fourth proportional to 38,534, 57,801 and 9,350 is: 14,025

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534 : 57,801 = 9,350 : x
  2. Step 2: Convert to fraction form
    38,534/57,801 = 9,350/x
  3. Step 3: Cross multiply
    38,534x = 57,801 × 9,350
  4. Step 4: Simplify right side
    38,534x = 540,439,350
  5. Step 5: Solve for x
    x = 540,439,350/38,534
  6. Step 6: Final answer
    x = 14,025

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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.