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Finding the Fourth Proportional to 6,754.44, 10,131.70 and 1,824.11

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Solution

The fourth proportional to 6,754.44, 10,131.70 and 1,824.11 is: 2,736.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.44 : 10,131.70 = 1,824.11 : x
  2. Step 2: Convert to fraction form
    6,754.44/10,131.70 = 1,824.11/x
  3. Step 3: Cross multiply
    6,754.44x = 10,131.70 × 1,824.11
  4. Step 4: Simplify right side
    6,754.44x = 18,481,335.29
  5. Step 5: Solve for x
    x = 18,481,335.29/6,754.44
  6. Step 6: Final answer
    x = 2,736.18

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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.