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Finding the Fourth Proportional to 6,441.87, 9,662.16 and 2,546.58

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Solution

The fourth proportional to 6,441.87, 9,662.16 and 2,546.58 is: 3,819.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.87 : 9,662.16 = 2,546.58 : x
  2. Step 2: Convert to fraction form
    6,441.87/9,662.16 = 2,546.58/x
  3. Step 3: Cross multiply
    6,441.87x = 9,662.16 × 2,546.58
  4. Step 4: Simplify right side
    6,441.87x = 24,605,463.41
  5. Step 5: Solve for x
    x = 24,605,463.41/6,441.87
  6. Step 6: Final answer
    x = 3,819.62

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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.