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Finding the Fourth Proportional to 7,170.82, 9,896.64 and 4,027

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Solution

The fourth proportional to 7,170.82, 9,896.64 and 4,027 is: 5,557.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,170.82 : 9,896.64 = 4,027 : x
  2. Step 2: Convert to fraction form
    7,170.82/9,896.64 = 4,027/x
  3. Step 3: Cross multiply
    7,170.82x = 9,896.64 × 4,027
  4. Step 4: Simplify right side
    7,170.82x = 39,853,769.28
  5. Step 5: Solve for x
    x = 39,853,769.28/7,170.82
  6. Step 6: Final answer
    x = 5,557.77

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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.