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Finding the Fourth Proportional to 6,508.88, 9,758.68 and 3,044.24

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Solution

The fourth proportional to 6,508.88, 9,758.68 and 3,044.24 is: 4,564.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.88 : 9,758.68 = 3,044.24 : x
  2. Step 2: Convert to fraction form
    6,508.88/9,758.68 = 3,044.24/x
  3. Step 3: Cross multiply
    6,508.88x = 9,758.68 × 3,044.24
  4. Step 4: Simplify right side
    6,508.88x = 29,707,764.00
  5. Step 5: Solve for x
    x = 29,707,764.00/6,508.88
  6. Step 6: Final answer
    x = 4,564.19

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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.