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Finding the Fourth Proportional to 8,497.70, 12,732.15 and 4,105.70

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Solution

The fourth proportional to 8,497.70, 12,732.15 and 4,105.70 is: 6,151.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.70 : 12,732.15 = 4,105.70 : x
  2. Step 2: Convert to fraction form
    8,497.70/12,732.15 = 4,105.70/x
  3. Step 3: Cross multiply
    8,497.70x = 12,732.15 × 4,105.70
  4. Step 4: Simplify right side
    8,497.70x = 52,274,388.26
  5. Step 5: Solve for x
    x = 52,274,388.26/8,497.70
  6. Step 6: Final answer
    x = 6,151.59

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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.