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Finding the Fourth Proportional to 9,463.62, 14,176.97 and 8,147.31

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Solution

The fourth proportional to 9,463.62, 14,176.97 and 8,147.31 is: 12,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.62 : 14,176.97 = 8,147.31 : x
  2. Step 2: Convert to fraction form
    9,463.62/14,176.97 = 8,147.31/x
  3. Step 3: Cross multiply
    9,463.62x = 14,176.97 × 8,147.31
  4. Step 4: Simplify right side
    9,463.62x = 115,504,128.71
  5. Step 5: Solve for x
    x = 115,504,128.71/9,463.62
  6. Step 6: Final answer
    x = 12,205.07

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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.