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Finding the Fourth Proportional to 6,508.99, 9,761.92 and 1,829.20

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Solution

The fourth proportional to 6,508.99, 9,761.92 and 1,829.20 is: 2,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.99 : 9,761.92 = 1,829.20 : x
  2. Step 2: Convert to fraction form
    6,508.99/9,761.92 = 1,829.20/x
  3. Step 3: Cross multiply
    6,508.99x = 9,761.92 × 1,829.20
  4. Step 4: Simplify right side
    6,508.99x = 17,856,504.06
  5. Step 5: Solve for x
    x = 17,856,504.06/6,508.99
  6. Step 6: Final answer
    x = 2,743.36

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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.