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Finding the Fourth Proportional to 6,754.36, 10,131.90 and 2,137

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Solution

The fourth proportional to 6,754.36, 10,131.90 and 2,137 is: 3,205.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.36 : 10,131.90 = 2,137 : x
  2. Step 2: Convert to fraction form
    6,754.36/10,131.90 = 2,137/x
  3. Step 3: Cross multiply
    6,754.36x = 10,131.90 × 2,137
  4. Step 4: Simplify right side
    6,754.36x = 21,651,870.30
  5. Step 5: Solve for x
    x = 21,651,870.30/6,754.36
  6. Step 6: Final answer
    x = 3,205.61

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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.