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Finding the Fourth Proportional to 12,754.46, 17,596.10 and 7,375.90

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Solution

The fourth proportional to 12,754.46, 17,596.10 and 7,375.90 is: 10,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,754.46 : 17,596.10 = 7,375.90 : x
  2. Step 2: Convert to fraction form
    12,754.46/17,596.10 = 7,375.90/x
  3. Step 3: Cross multiply
    12,754.46x = 17,596.10 × 7,375.90
  4. Step 4: Simplify right side
    12,754.46x = 129,787,073.99
  5. Step 5: Solve for x
    x = 129,787,073.99/12,754.46
  6. Step 6: Final answer
    x = 10,175.82

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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.