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Finding the Fourth Proportional to 6,508.26, 9,763.20 and 2,558.70

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Solution

The fourth proportional to 6,508.26, 9,763.20 and 2,558.70 is: 3,838.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.26 : 9,763.20 = 2,558.70 : x
  2. Step 2: Convert to fraction form
    6,508.26/9,763.20 = 2,558.70/x
  3. Step 3: Cross multiply
    6,508.26x = 9,763.20 × 2,558.70
  4. Step 4: Simplify right side
    6,508.26x = 24,981,099.84
  5. Step 5: Solve for x
    x = 24,981,099.84/6,508.26
  6. Step 6: Final answer
    x = 3,838.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.