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Finding the Fourth Proportional to 7,126.82, 9,835.31 and 3,983

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Solution

The fourth proportional to 7,126.82, 9,835.31 and 3,983 is: 5,496.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,126.82 : 9,835.31 = 3,983 : x
  2. Step 2: Convert to fraction form
    7,126.82/9,835.31 = 3,983/x
  3. Step 3: Cross multiply
    7,126.82x = 9,835.31 × 3,983
  4. Step 4: Simplify right side
    7,126.82x = 39,174,019.82
  5. Step 5: Solve for x
    x = 39,174,019.82/7,126.82
  6. Step 6: Final answer
    x = 5,496.71

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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.