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Finding the Fourth Proportional to 11,694.98, 17,550.07 and 6,146.69

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Solution

The fourth proportional to 11,694.98, 17,550.07 and 6,146.69 is: 9,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.98 : 17,550.07 = 6,146.69 : x
  2. Step 2: Convert to fraction form
    11,694.98/17,550.07 = 6,146.69/x
  3. Step 3: Cross multiply
    11,694.98x = 17,550.07 × 6,146.69
  4. Step 4: Simplify right side
    11,694.98x = 107,874,736.65
  5. Step 5: Solve for x
    x = 107,874,736.65/11,694.98
  6. Step 6: Final answer
    x = 9,224.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.