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Finding the Fourth Proportional to 23,753.84, 35,630.78 and 8,171.46

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Solution

The fourth proportional to 23,753.84, 35,630.78 and 8,171.46 is: 12,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,753.84 : 35,630.78 = 8,171.46 : x
  2. Step 2: Convert to fraction form
    23,753.84/35,630.78 = 8,171.46/x
  3. Step 3: Cross multiply
    23,753.84x = 35,630.78 × 8,171.46
  4. Step 4: Simplify right side
    23,753.84x = 291,155,452.68
  5. Step 5: Solve for x
    x = 291,155,452.68/23,753.84
  6. Step 6: Final answer
    x = 12,257.20

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Half scale
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Similar ratio
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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.