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Finding the Fourth Proportional to 6,747.03, 10,122.51 and 3,462.41

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Solution

The fourth proportional to 6,747.03, 10,122.51 and 3,462.41 is: 5,194.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747.03 : 10,122.51 = 3,462.41 : x
  2. Step 2: Convert to fraction form
    6,747.03/10,122.51 = 3,462.41/x
  3. Step 3: Cross multiply
    6,747.03x = 10,122.51 × 3,462.41
  4. Step 4: Simplify right side
    6,747.03x = 35,048,229.24
  5. Step 5: Solve for x
    x = 35,048,229.24/6,747.03
  6. Step 6: Final answer
    x = 5,194.62

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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.