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Finding the Fourth Proportional to 8,095.10, 12,142.22 and 2,251.76

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Solution

The fourth proportional to 8,095.10, 12,142.22 and 2,251.76 is: 3,377.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,095.10 : 12,142.22 = 2,251.76 : x
  2. Step 2: Convert to fraction form
    8,095.10/12,142.22 = 2,251.76/x
  3. Step 3: Cross multiply
    8,095.10x = 12,142.22 × 2,251.76
  4. Step 4: Simplify right side
    8,095.10x = 27,341,365.31
  5. Step 5: Solve for x
    x = 27,341,365.31/8,095.10
  6. Step 6: Final answer
    x = 3,377.52

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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.