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Finding the Fourth Proportional to 6,369.76, 9,546.54 and 3,450.52

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Solution

The fourth proportional to 6,369.76, 9,546.54 and 3,450.52 is: 5,171.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.76 : 9,546.54 = 3,450.52 : x
  2. Step 2: Convert to fraction form
    6,369.76/9,546.54 = 3,450.52/x
  3. Step 3: Cross multiply
    6,369.76x = 9,546.54 × 3,450.52
  4. Step 4: Simplify right side
    6,369.76x = 32,940,527.20
  5. Step 5: Solve for x
    x = 32,940,527.20/6,369.76
  6. Step 6: Final answer
    x = 5,171.39

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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.