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Finding the Fourth Proportional to 17,616.75, 24,310.75 and 9,658.97

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Solution

The fourth proportional to 17,616.75, 24,310.75 and 9,658.97 is: 13,329.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,616.75 : 24,310.75 = 9,658.97 : x
  2. Step 2: Convert to fraction form
    17,616.75/24,310.75 = 9,658.97/x
  3. Step 3: Cross multiply
    17,616.75x = 24,310.75 × 9,658.97
  4. Step 4: Simplify right side
    17,616.75x = 234,816,804.93
  5. Step 5: Solve for x
    x = 234,816,804.93/17,616.75
  6. Step 6: Final answer
    x = 13,329.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.