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Finding the Fourth Proportional to 22,103.67, 33,164.15 and 8,253.75

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Solution

The fourth proportional to 22,103.67, 33,164.15 and 8,253.75 is: 12,383.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,103.67 : 33,164.15 = 8,253.75 : x
  2. Step 2: Convert to fraction form
    22,103.67/33,164.15 = 8,253.75/x
  3. Step 3: Cross multiply
    22,103.67x = 33,164.15 × 8,253.75
  4. Step 4: Simplify right side
    22,103.67x = 273,728,561.79
  5. Step 5: Solve for x
    x = 273,728,561.79/22,103.67
  6. Step 6: Final answer
    x = 12,383.85

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Half scale
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Double scale
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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.