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Finding the Fourth Proportional to 7,474, 11,211 and 2,002

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Solution

The fourth proportional to 7,474, 11,211 and 2,002 is: 3,003

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474 : 11,211 = 2,002 : x
  2. Step 2: Convert to fraction form
    7,474/11,211 = 2,002/x
  3. Step 3: Cross multiply
    7,474x = 11,211 × 2,002
  4. Step 4: Simplify right side
    7,474x = 22,444,422
  5. Step 5: Solve for x
    x = 22,444,422/7,474
  6. Step 6: Final answer
    x = 3,003

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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.