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Finding the Fourth Proportional to 8,162.75, 12,244.17 and 2,006.75

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Solution

The fourth proportional to 8,162.75, 12,244.17 and 2,006.75 is: 3,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.75 : 12,244.17 = 2,006.75 : x
  2. Step 2: Convert to fraction form
    8,162.75/12,244.17 = 2,006.75/x
  3. Step 3: Cross multiply
    8,162.75x = 12,244.17 × 2,006.75
  4. Step 4: Simplify right side
    8,162.75x = 24,570,988.15
  5. Step 5: Solve for x
    x = 24,570,988.15/8,162.75
  6. Step 6: Final answer
    x = 3,010.14

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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.