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Finding the Fourth Proportional to 7,375, 10,177.56 and 4,063

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Solution

The fourth proportional to 7,375, 10,177.56 and 4,063 is: 5,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,375 : 10,177.56 = 4,063 : x
  2. Step 2: Convert to fraction form
    7,375/10,177.56 = 4,063/x
  3. Step 3: Cross multiply
    7,375x = 10,177.56 × 4,063
  4. Step 4: Simplify right side
    7,375x = 41,351,426.28
  5. Step 5: Solve for x
    x = 41,351,426.28/7,375
  6. Step 6: Final answer
    x = 5,606.97

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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.