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Finding the Fourth Proportional to 27,866, 41,799 and 9,398

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Solution

The fourth proportional to 27,866, 41,799 and 9,398 is: 14,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,866 : 41,799 = 9,398 : x
  2. Step 2: Convert to fraction form
    27,866/41,799 = 9,398/x
  3. Step 3: Cross multiply
    27,866x = 41,799 × 9,398
  4. Step 4: Simplify right side
    27,866x = 392,827,002
  5. Step 5: Solve for x
    x = 392,827,002/27,866
  6. Step 6: Final answer
    x = 14,097

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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.