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Finding the Fourth Proportional to 7,841.97, 11,757.56 and 3,944.25

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Solution

The fourth proportional to 7,841.97, 11,757.56 and 3,944.25 is: 5,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.97 : 11,757.56 = 3,944.25 : x
  2. Step 2: Convert to fraction form
    7,841.97/11,757.56 = 3,944.25/x
  3. Step 3: Cross multiply
    7,841.97x = 11,757.56 × 3,944.25
  4. Step 4: Simplify right side
    7,841.97x = 46,374,736.31
  5. Step 5: Solve for x
    x = 46,374,736.31/7,841.97
  6. Step 6: Final answer
    x = 5,913.66

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1.5x scale

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.