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Finding the Fourth Proportional to 7,767.97, 11,642.23 and 6,118

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Solution

The fourth proportional to 7,767.97, 11,642.23 and 6,118 is: 9,169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.97 : 11,642.23 = 6,118 : x
  2. Step 2: Convert to fraction form
    7,767.97/11,642.23 = 6,118/x
  3. Step 3: Cross multiply
    7,767.97x = 11,642.23 × 6,118
  4. Step 4: Simplify right side
    7,767.97x = 71,227,163.14
  5. Step 5: Solve for x
    x = 71,227,163.14/7,767.97
  6. Step 6: Final answer
    x = 9,169.34

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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.