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Finding the Fourth Proportional to 22,649.17, 33,965.25 and 7,854.52

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Solution

The fourth proportional to 22,649.17, 33,965.25 and 7,854.52 is: 11,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.17 : 33,965.25 = 7,854.52 : x
  2. Step 2: Convert to fraction form
    22,649.17/33,965.25 = 7,854.52/x
  3. Step 3: Cross multiply
    22,649.17x = 33,965.25 × 7,854.52
  4. Step 4: Simplify right side
    22,649.17x = 266,780,735.43
  5. Step 5: Solve for x
    x = 266,780,735.43/22,649.17
  6. Step 6: Final answer
    x = 11,778.83

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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.