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Finding the Fourth Proportional to 8,105.97, 12,158.95 and 6,259.77

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Solution

The fourth proportional to 8,105.97, 12,158.95 and 6,259.77 is: 9,389.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.97 : 12,158.95 = 6,259.77 : x
  2. Step 2: Convert to fraction form
    8,105.97/12,158.95 = 6,259.77/x
  3. Step 3: Cross multiply
    8,105.97x = 12,158.95 × 6,259.77
  4. Step 4: Simplify right side
    8,105.97x = 76,112,230.44
  5. Step 5: Solve for x
    x = 76,112,230.44/8,105.97
  6. Step 6: Final answer
    x = 9,389.65

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Similar ratio
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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.