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Finding the Fourth Proportional to 8,199.20, 12,267.30 and 8,178.20

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Solution

The fourth proportional to 8,199.20, 12,267.30 and 8,178.20 is: 12,235.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.20 : 12,267.30 = 8,178.20 : x
  2. Step 2: Convert to fraction form
    8,199.20/12,267.30 = 8,178.20/x
  3. Step 3: Cross multiply
    8,199.20x = 12,267.30 × 8,178.20
  4. Step 4: Simplify right side
    8,199.20x = 100,324,432.86
  5. Step 5: Solve for x
    x = 100,324,432.86/8,199.20
  6. Step 6: Final answer
    x = 12,235.88

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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.