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Finding the Fourth Proportional to 7,366, 11,049 and 2,171.74

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Solution

The fourth proportional to 7,366, 11,049 and 2,171.74 is: 3,257.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,366 : 11,049 = 2,171.74 : x
  2. Step 2: Convert to fraction form
    7,366/11,049 = 2,171.74/x
  3. Step 3: Cross multiply
    7,366x = 11,049 × 2,171.74
  4. Step 4: Simplify right side
    7,366x = 23,995,555.26
  5. Step 5: Solve for x
    x = 23,995,555.26/7,366
  6. Step 6: Final answer
    x = 3,257.61

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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.