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Finding the Fourth Proportional to 6,546.60, 9,034 and 3,713.80

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Solution

The fourth proportional to 6,546.60, 9,034 and 3,713.80 is: 5,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.60 : 9,034 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    6,546.60/9,034 = 3,713.80/x
  3. Step 3: Cross multiply
    6,546.60x = 9,034 × 3,713.80
  4. Step 4: Simplify right side
    6,546.60x = 33,550,469.20
  5. Step 5: Solve for x
    x = 33,550,469.20/6,546.60
  6. Step 6: Final answer
    x = 5,124.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.