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Finding the Fourth Proportional to 8,497.41, 12,743.83 and 5,372.73

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Solution

The fourth proportional to 8,497.41, 12,743.83 and 5,372.73 is: 8,057.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.41 : 12,743.83 = 5,372.73 : x
  2. Step 2: Convert to fraction form
    8,497.41/12,743.83 = 5,372.73/x
  3. Step 3: Cross multiply
    8,497.41x = 12,743.83 × 5,372.73
  4. Step 4: Simplify right side
    8,497.41x = 68,469,164.47
  5. Step 5: Solve for x
    x = 68,469,164.47/8,497.41
  6. Step 6: Final answer
    x = 8,057.65

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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.