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Finding the Fourth Proportional to 7,474, 10,314.12 and 4,162

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Solution

The fourth proportional to 7,474, 10,314.12 and 4,162 is: 5,743.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,474 : 10,314.12 = 4,162 : x
  2. Step 2: Convert to fraction form
    7,474/10,314.12 = 4,162/x
  3. Step 3: Cross multiply
    7,474x = 10,314.12 × 4,162
  4. Step 4: Simplify right side
    7,474x = 42,927,367.44
  5. Step 5: Solve for x
    x = 42,927,367.44/7,474
  6. Step 6: Final answer
    x = 5,743.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.