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Finding the Fourth Proportional to 6,694.11, 10,042.16 and 6,284.07

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Solution

The fourth proportional to 6,694.11, 10,042.16 and 6,284.07 is: 9,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.11 : 10,042.16 = 6,284.07 : x
  2. Step 2: Convert to fraction form
    6,694.11/10,042.16 = 6,284.07/x
  3. Step 3: Cross multiply
    6,694.11x = 10,042.16 × 6,284.07
  4. Step 4: Simplify right side
    6,694.11x = 63,105,604.97
  5. Step 5: Solve for x
    x = 63,105,604.97/6,694.11
  6. Step 6: Final answer
    x = 9,427.03

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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.