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Finding the Fourth Proportional to 17,706.38, 26,564.13 and 6,613.14

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Solution

The fourth proportional to 17,706.38, 26,564.13 and 6,613.14 is: 9,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,706.38 : 26,564.13 = 6,613.14 : x
  2. Step 2: Convert to fraction form
    17,706.38/26,564.13 = 6,613.14/x
  3. Step 3: Cross multiply
    17,706.38x = 26,564.13 × 6,613.14
  4. Step 4: Simplify right side
    17,706.38x = 175,672,310.67
  5. Step 5: Solve for x
    x = 175,672,310.67/17,706.38
  6. Step 6: Final answer
    x = 9,921.42

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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.