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Finding the Fourth Proportional to 6,491.13, 9,735.86 and 2,744.39

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Solution

The fourth proportional to 6,491.13, 9,735.86 and 2,744.39 is: 4,116.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.13 : 9,735.86 = 2,744.39 : x
  2. Step 2: Convert to fraction form
    6,491.13/9,735.86 = 2,744.39/x
  3. Step 3: Cross multiply
    6,491.13x = 9,735.86 × 2,744.39
  4. Step 4: Simplify right side
    6,491.13x = 26,718,934.42
  5. Step 5: Solve for x
    x = 26,718,934.42/6,491.13
  6. Step 6: Final answer
    x = 4,116.22

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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.