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Finding the Fourth Proportional to 8,098.01, 12,147.01 and 3,169.09

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Solution

The fourth proportional to 8,098.01, 12,147.01 and 3,169.09 is: 4,753.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.01 : 12,147.01 = 3,169.09 : x
  2. Step 2: Convert to fraction form
    8,098.01/12,147.01 = 3,169.09/x
  3. Step 3: Cross multiply
    8,098.01x = 12,147.01 × 3,169.09
  4. Step 4: Simplify right side
    8,098.01x = 38,494,967.92
  5. Step 5: Solve for x
    x = 38,494,967.92/8,098.01
  6. Step 6: Final answer
    x = 4,753.63

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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.