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Finding the Fourth Proportional to 7,635, 11,453.26 and 2,439.56

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Solution

The fourth proportional to 7,635, 11,453.26 and 2,439.56 is: 3,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635 : 11,453.26 = 2,439.56 : x
  2. Step 2: Convert to fraction form
    7,635/11,453.26 = 2,439.56/x
  3. Step 3: Cross multiply
    7,635x = 11,453.26 × 2,439.56
  4. Step 4: Simplify right side
    7,635x = 27,940,914.97
  5. Step 5: Solve for x
    x = 27,940,914.97/7,635
  6. Step 6: Final answer
    x = 3,659.58

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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.