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Finding the Fourth Proportional to 22,332, 33,498 and 5,916

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Solution

The fourth proportional to 22,332, 33,498 and 5,916 is: 8,874

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,332 : 33,498 = 5,916 : x
  2. Step 2: Convert to fraction form
    22,332/33,498 = 5,916/x
  3. Step 3: Cross multiply
    22,332x = 33,498 × 5,916
  4. Step 4: Simplify right side
    22,332x = 198,174,168
  5. Step 5: Solve for x
    x = 198,174,168/22,332
  6. Step 6: Final answer
    x = 8,874

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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.