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Finding the Fourth Proportional to 17,079.78, 23,568 and 9,524.34

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Solution

The fourth proportional to 17,079.78, 23,568 and 9,524.34 is: 13,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,079.78 : 23,568 = 9,524.34 : x
  2. Step 2: Convert to fraction form
    17,079.78/23,568 = 9,524.34/x
  3. Step 3: Cross multiply
    17,079.78x = 23,568 × 9,524.34
  4. Step 4: Simplify right side
    17,079.78x = 224,469,645.12
  5. Step 5: Solve for x
    x = 224,469,645.12/17,079.78
  6. Step 6: Final answer
    x = 13,142.42

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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.