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Finding the Fourth Proportional to 7,633.53, 11,450.70 and 2,439

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Solution

The fourth proportional to 7,633.53, 11,450.70 and 2,439 is: 3,658.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.53 : 11,450.70 = 2,439 : x
  2. Step 2: Convert to fraction form
    7,633.53/11,450.70 = 2,439/x
  3. Step 3: Cross multiply
    7,633.53x = 11,450.70 × 2,439
  4. Step 4: Simplify right side
    7,633.53x = 27,928,257.30
  5. Step 5: Solve for x
    x = 27,928,257.30/7,633.53
  6. Step 6: Final answer
    x = 3,658.63

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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.