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Finding the Fourth Proportional to 13,610.83, 20,414.07 and 5,294.65

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Solution

The fourth proportional to 13,610.83, 20,414.07 and 5,294.65 is: 7,941.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,610.83 : 20,414.07 = 5,294.65 : x
  2. Step 2: Convert to fraction form
    13,610.83/20,414.07 = 5,294.65/x
  3. Step 3: Cross multiply
    13,610.83x = 20,414.07 × 5,294.65
  4. Step 4: Simplify right side
    13,610.83x = 108,085,355.73
  5. Step 5: Solve for x
    x = 108,085,355.73/13,610.83
  6. Step 6: Final answer
    x = 7,941.13

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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.