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Finding the Fourth Proportional to 8,167.31, 11,197.46 and 8,019.68

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Solution

The fourth proportional to 8,167.31, 11,197.46 and 8,019.68 is: 10,995.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.31 : 11,197.46 = 8,019.68 : x
  2. Step 2: Convert to fraction form
    8,167.31/11,197.46 = 8,019.68/x
  3. Step 3: Cross multiply
    8,167.31x = 11,197.46 × 8,019.68
  4. Step 4: Simplify right side
    8,167.31x = 89,800,033.91
  5. Step 5: Solve for x
    x = 89,800,033.91/8,167.31
  6. Step 6: Final answer
    x = 10,995.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.