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Finding the Fourth Proportional to 11,346.82, 15,657.70 and 7,375.38

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Solution

The fourth proportional to 11,346.82, 15,657.70 and 7,375.38 is: 10,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.82 : 15,657.70 = 7,375.38 : x
  2. Step 2: Convert to fraction form
    11,346.82/15,657.70 = 7,375.38/x
  3. Step 3: Cross multiply
    11,346.82x = 15,657.70 × 7,375.38
  4. Step 4: Simplify right side
    11,346.82x = 115,481,487.43
  5. Step 5: Solve for x
    x = 115,481,487.43/11,346.82
  6. Step 6: Final answer
    x = 10,177.43

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1.5x scale

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.