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Finding the Fourth Proportional to 22,649.52, 33,974.64 and 8,609.76

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Solution

The fourth proportional to 22,649.52, 33,974.64 and 8,609.76 is: 12,914.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.52 : 33,974.64 = 8,609.76 : x
  2. Step 2: Convert to fraction form
    22,649.52/33,974.64 = 8,609.76/x
  3. Step 3: Cross multiply
    22,649.52x = 33,974.64 × 8,609.76
  4. Step 4: Simplify right side
    22,649.52x = 292,513,496.49
  5. Step 5: Solve for x
    x = 292,513,496.49/22,649.52
  6. Step 6: Final answer
    x = 12,914.78

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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.