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Finding the Fourth Proportional to 8,057.92, 12,078.14 and 3,126.10

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Solution

The fourth proportional to 8,057.92, 12,078.14 and 3,126.10 is: 4,685.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.92 : 12,078.14 = 3,126.10 : x
  2. Step 2: Convert to fraction form
    8,057.92/12,078.14 = 3,126.10/x
  3. Step 3: Cross multiply
    8,057.92x = 12,078.14 × 3,126.10
  4. Step 4: Simplify right side
    8,057.92x = 37,757,473.45
  5. Step 5: Solve for x
    x = 37,757,473.45/8,057.92
  6. Step 6: Final answer
    x = 4,685.76

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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.