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Finding the Fourth Proportional to 8,245.74, 11,380.11 and 4,660.86

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Solution

The fourth proportional to 8,245.74, 11,380.11 and 4,660.86 is: 6,432.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.74 : 11,380.11 = 4,660.86 : x
  2. Step 2: Convert to fraction form
    8,245.74/11,380.11 = 4,660.86/x
  3. Step 3: Cross multiply
    8,245.74x = 11,380.11 × 4,660.86
  4. Step 4: Simplify right side
    8,245.74x = 53,041,099.49
  5. Step 5: Solve for x
    x = 53,041,099.49/8,245.74
  6. Step 6: Final answer
    x = 6,432.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.