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Finding the Fourth Proportional to 8,139.66, 12,193.10 and 6,168.66

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Solution

The fourth proportional to 8,139.66, 12,193.10 and 6,168.66 is: 9,240.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.66 : 12,193.10 = 6,168.66 : x
  2. Step 2: Convert to fraction form
    8,139.66/12,193.10 = 6,168.66/x
  3. Step 3: Cross multiply
    8,139.66x = 12,193.10 × 6,168.66
  4. Step 4: Simplify right side
    8,139.66x = 75,215,027.28
  5. Step 5: Solve for x
    x = 75,215,027.28/8,139.66
  6. Step 6: Final answer
    x = 9,240.57

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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.