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Finding the Fourth Proportional to 8,167.70, 12,241.80 and 4,469.24

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Solution

The fourth proportional to 8,167.70, 12,241.80 and 4,469.24 is: 6,698.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.70 : 12,241.80 = 4,469.24 : x
  2. Step 2: Convert to fraction form
    8,167.70/12,241.80 = 4,469.24/x
  3. Step 3: Cross multiply
    8,167.70x = 12,241.80 × 4,469.24
  4. Step 4: Simplify right side
    8,167.70x = 54,711,542.23
  5. Step 5: Solve for x
    x = 54,711,542.23/8,167.70
  6. Step 6: Final answer
    x = 6,698.52

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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.