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Finding the Fourth Proportional to 38,648, 57,972 and 9,464

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Solution

The fourth proportional to 38,648, 57,972 and 9,464 is: 14,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,648 : 57,972 = 9,464 : x
  2. Step 2: Convert to fraction form
    38,648/57,972 = 9,464/x
  3. Step 3: Cross multiply
    38,648x = 57,972 × 9,464
  4. Step 4: Simplify right side
    38,648x = 548,647,008
  5. Step 5: Solve for x
    x = 548,647,008/38,648
  6. Step 6: Final answer
    x = 14,196

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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.