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Finding the Fourth Proportional to 8,167.80, 12,251.70 and 5,662.20

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Solution

The fourth proportional to 8,167.80, 12,251.70 and 5,662.20 is: 8,493.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.80 : 12,251.70 = 5,662.20 : x
  2. Step 2: Convert to fraction form
    8,167.80/12,251.70 = 5,662.20/x
  3. Step 3: Cross multiply
    8,167.80x = 12,251.70 × 5,662.20
  4. Step 4: Simplify right side
    8,167.80x = 69,371,575.74
  5. Step 5: Solve for x
    x = 69,371,575.74/8,167.80
  6. Step 6: Final answer
    x = 8,493.30

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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.