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Finding the Fourth Proportional to 6,540.74, 9,794.70 and 3,409.68

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Solution

The fourth proportional to 6,540.74, 9,794.70 and 3,409.68 is: 5,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.74 : 9,794.70 = 3,409.68 : x
  2. Step 2: Convert to fraction form
    6,540.74/9,794.70 = 3,409.68/x
  3. Step 3: Cross multiply
    6,540.74x = 9,794.70 × 3,409.68
  4. Step 4: Simplify right side
    6,540.74x = 33,396,792.70
  5. Step 5: Solve for x
    x = 33,396,792.70/6,540.74
  6. Step 6: Final answer
    x = 5,105.97

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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.