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Finding the Fourth Proportional to 8,099.73, 12,149.73 and 2,834.73

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Solution

The fourth proportional to 8,099.73, 12,149.73 and 2,834.73 is: 4,252.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.73 : 12,149.73 = 2,834.73 : x
  2. Step 2: Convert to fraction form
    8,099.73/12,149.73 = 2,834.73/x
  3. Step 3: Cross multiply
    8,099.73x = 12,149.73 × 2,834.73
  4. Step 4: Simplify right side
    8,099.73x = 34,441,204.12
  5. Step 5: Solve for x
    x = 34,441,204.12/8,099.73
  6. Step 6: Final answer
    x = 4,252.14

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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.