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Finding the Fourth Proportional to 22,398, 33,597 and 5,982

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Solution

The fourth proportional to 22,398, 33,597 and 5,982 is: 8,973

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398 : 33,597 = 5,982 : x
  2. Step 2: Convert to fraction form
    22,398/33,597 = 5,982/x
  3. Step 3: Cross multiply
    22,398x = 33,597 × 5,982
  4. Step 4: Simplify right side
    22,398x = 200,977,254
  5. Step 5: Solve for x
    x = 200,977,254/22,398
  6. Step 6: Final answer
    x = 8,973

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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.