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Finding the Fourth Proportional to 6,754.54, 10,127.02 and 2,591.03

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Solution

The fourth proportional to 6,754.54, 10,127.02 and 2,591.03 is: 3,884.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.54 : 10,127.02 = 2,591.03 : x
  2. Step 2: Convert to fraction form
    6,754.54/10,127.02 = 2,591.03/x
  3. Step 3: Cross multiply
    6,754.54x = 10,127.02 × 2,591.03
  4. Step 4: Simplify right side
    6,754.54x = 26,239,399.68
  5. Step 5: Solve for x
    x = 26,239,399.68/6,754.54
  6. Step 6: Final answer
    x = 3,884.71

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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.