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Finding the Fourth Proportional to 22,961, 34,447.28 and 6,545

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Solution

The fourth proportional to 22,961, 34,447.28 and 6,545 is: 9,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961 : 34,447.28 = 6,545 : x
  2. Step 2: Convert to fraction form
    22,961/34,447.28 = 6,545/x
  3. Step 3: Cross multiply
    22,961x = 34,447.28 × 6,545
  4. Step 4: Simplify right side
    22,961x = 225,457,447.60
  5. Step 5: Solve for x
    x = 225,457,447.60/22,961
  6. Step 6: Final answer
    x = 9,819.15

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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.