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Finding the Fourth Proportional to 9,640.98, 14,463.18 and 3,404.61

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Solution

The fourth proportional to 9,640.98, 14,463.18 and 3,404.61 is: 5,107.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.98 : 14,463.18 = 3,404.61 : x
  2. Step 2: Convert to fraction form
    9,640.98/14,463.18 = 3,404.61/x
  3. Step 3: Cross multiply
    9,640.98x = 14,463.18 × 3,404.61
  4. Step 4: Simplify right side
    9,640.98x = 49,241,397.92
  5. Step 5: Solve for x
    x = 49,241,397.92/9,640.98
  6. Step 6: Final answer
    x = 5,107.51

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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.