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Finding the Fourth Proportional to 7,494, 11,241 and 2,022

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Solution

The fourth proportional to 7,494, 11,241 and 2,022 is: 3,033

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494 : 11,241 = 2,022 : x
  2. Step 2: Convert to fraction form
    7,494/11,241 = 2,022/x
  3. Step 3: Cross multiply
    7,494x = 11,241 × 2,022
  4. Step 4: Simplify right side
    7,494x = 22,729,302
  5. Step 5: Solve for x
    x = 22,729,302/7,494
  6. Step 6: Final answer
    x = 3,033

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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.