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Finding the Fourth Proportional to 22,765.20, 34,153.80 and 7,974.12

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Solution

The fourth proportional to 22,765.20, 34,153.80 and 7,974.12 is: 11,963.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.20 : 34,153.80 = 7,974.12 : x
  2. Step 2: Convert to fraction form
    22,765.20/34,153.80 = 7,974.12/x
  3. Step 3: Cross multiply
    22,765.20x = 34,153.80 × 7,974.12
  4. Step 4: Simplify right side
    22,765.20x = 272,346,499.66
  5. Step 5: Solve for x
    x = 272,346,499.66/22,765.20
  6. Step 6: Final answer
    x = 11,963.28

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1.5x scale

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.