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Finding the Fourth Proportional to 8,713.53, 13,096.22 and 4,099.77

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Solution

The fourth proportional to 8,713.53, 13,096.22 and 4,099.77 is: 6,161.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.53 : 13,096.22 = 4,099.77 : x
  2. Step 2: Convert to fraction form
    8,713.53/13,096.22 = 4,099.77/x
  3. Step 3: Cross multiply
    8,713.53x = 13,096.22 × 4,099.77
  4. Step 4: Simplify right side
    8,713.53x = 53,691,489.87
  5. Step 5: Solve for x
    x = 53,691,489.87/8,713.53
  6. Step 6: Final answer
    x = 6,161.85

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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.