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Finding the Fourth Proportional to 22,758.35, 34,142.94 and 7,175.97

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Solution

The fourth proportional to 22,758.35, 34,142.94 and 7,175.97 is: 10,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.35 : 34,142.94 = 7,175.97 : x
  2. Step 2: Convert to fraction form
    22,758.35/34,142.94 = 7,175.97/x
  3. Step 3: Cross multiply
    22,758.35x = 34,142.94 × 7,175.97
  4. Step 4: Simplify right side
    22,758.35x = 245,008,713.15
  5. Step 5: Solve for x
    x = 245,008,713.15/22,758.35
  6. Step 6: Final answer
    x = 10,765.66

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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.