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Finding the Fourth Proportional to 8,115.76, 12,177.24 and 3,183.76

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Solution

The fourth proportional to 8,115.76, 12,177.24 and 3,183.76 is: 4,777.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.76 : 12,177.24 = 3,183.76 : x
  2. Step 2: Convert to fraction form
    8,115.76/12,177.24 = 3,183.76/x
  3. Step 3: Cross multiply
    8,115.76x = 12,177.24 × 3,183.76
  4. Step 4: Simplify right side
    8,115.76x = 38,769,409.62
  5. Step 5: Solve for x
    x = 38,769,409.62/8,115.76
  6. Step 6: Final answer
    x = 4,777.05

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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.