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Finding the Fourth Proportional to 34,092, 51,138 and 9,468

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Solution

The fourth proportional to 34,092, 51,138 and 9,468 is: 14,202

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,092 : 51,138 = 9,468 : x
  2. Step 2: Convert to fraction form
    34,092/51,138 = 9,468/x
  3. Step 3: Cross multiply
    34,092x = 51,138 × 9,468
  4. Step 4: Simplify right side
    34,092x = 484,174,584
  5. Step 5: Solve for x
    x = 484,174,584/34,092
  6. Step 6: Final answer
    x = 14,202

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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.