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Finding the Fourth Proportional to 6,494.66, 9,738.52 and 3,371.52

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Solution

The fourth proportional to 6,494.66, 9,738.52 and 3,371.52 is: 5,055.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.66 : 9,738.52 = 3,371.52 : x
  2. Step 2: Convert to fraction form
    6,494.66/9,738.52 = 3,371.52/x
  3. Step 3: Cross multiply
    6,494.66x = 9,738.52 × 3,371.52
  4. Step 4: Simplify right side
    6,494.66x = 32,833,614.95
  5. Step 5: Solve for x
    x = 32,833,614.95/6,494.66
  6. Step 6: Final answer
    x = 5,055.48

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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.