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Finding the Fourth Proportional to 22,834, 34,251 and 6,418

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Solution

The fourth proportional to 22,834, 34,251 and 6,418 is: 9,627

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,834 : 34,251 = 6,418 : x
  2. Step 2: Convert to fraction form
    22,834/34,251 = 6,418/x
  3. Step 3: Cross multiply
    22,834x = 34,251 × 6,418
  4. Step 4: Simplify right side
    22,834x = 219,822,918
  5. Step 5: Solve for x
    x = 219,822,918/22,834
  6. Step 6: Final answer
    x = 9,627

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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.