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Finding the Fourth Proportional to 8,101.82, 12,160.44 and 3,944.12

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Solution

The fourth proportional to 8,101.82, 12,160.44 and 3,944.12 is: 5,919.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.82 : 12,160.44 = 3,944.12 : x
  2. Step 2: Convert to fraction form
    8,101.82/12,160.44 = 3,944.12/x
  3. Step 3: Cross multiply
    8,101.82x = 12,160.44 × 3,944.12
  4. Step 4: Simplify right side
    8,101.82x = 47,962,234.61
  5. Step 5: Solve for x
    x = 47,962,234.61/8,101.82
  6. Step 6: Final answer
    x = 5,919.93

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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.