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Finding the Fourth Proportional to 22,394, 33,591 and 5,978

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Solution

The fourth proportional to 22,394, 33,591 and 5,978 is: 8,967

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,394 : 33,591 = 5,978 : x
  2. Step 2: Convert to fraction form
    22,394/33,591 = 5,978/x
  3. Step 3: Cross multiply
    22,394x = 33,591 × 5,978
  4. Step 4: Simplify right side
    22,394x = 200,806,998
  5. Step 5: Solve for x
    x = 200,806,998/22,394
  6. Step 6: Final answer
    x = 8,967

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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.