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Finding the Fourth Proportional to 9,641.10, 14,463.36 and 3,404.73

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Solution

The fourth proportional to 9,641.10, 14,463.36 and 3,404.73 is: 5,107.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.10 : 14,463.36 = 3,404.73 : x
  2. Step 2: Convert to fraction form
    9,641.10/14,463.36 = 3,404.73/x
  3. Step 3: Cross multiply
    9,641.10x = 14,463.36 × 3,404.73
  4. Step 4: Simplify right side
    9,641.10x = 49,243,902.70
  5. Step 5: Solve for x
    x = 49,243,902.70/9,641.10
  6. Step 6: Final answer
    x = 5,107.71

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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.