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Finding the Fourth Proportional to 11,571, 17,352.90 and 4,174.49

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Solution

The fourth proportional to 11,571, 17,352.90 and 4,174.49 is: 6,260.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 17,352.90 = 4,174.49 : x
  2. Step 2: Convert to fraction form
    11,571/17,352.90 = 4,174.49/x
  3. Step 3: Cross multiply
    11,571x = 17,352.90 × 4,174.49
  4. Step 4: Simplify right side
    11,571x = 72,439,507.52
  5. Step 5: Solve for x
    x = 72,439,507.52/11,571
  6. Step 6: Final answer
    x = 6,260.44

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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.