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Finding the Fourth Proportional to 8,167.60, 12,251.40 and 6,199.30

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Solution

The fourth proportional to 8,167.60, 12,251.40 and 6,199.30 is: 9,298.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.60 : 12,251.40 = 6,199.30 : x
  2. Step 2: Convert to fraction form
    8,167.60/12,251.40 = 6,199.30/x
  3. Step 3: Cross multiply
    8,167.60x = 12,251.40 × 6,199.30
  4. Step 4: Simplify right side
    8,167.60x = 75,950,104.02
  5. Step 5: Solve for x
    x = 75,950,104.02/8,167.60
  6. Step 6: Final answer
    x = 9,298.95

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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.