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Finding the Fourth Proportional to 6,694.00, 10,040.94 and 2,013.98

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Solution

The fourth proportional to 6,694.00, 10,040.94 and 2,013.98 is: 3,020.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.00 : 10,040.94 = 2,013.98 : x
  2. Step 2: Convert to fraction form
    6,694.00/10,040.94 = 2,013.98/x
  3. Step 3: Cross multiply
    6,694.00x = 10,040.94 × 2,013.98
  4. Step 4: Simplify right side
    6,694.00x = 20,222,277.44
  5. Step 5: Solve for x
    x = 20,222,277.44/6,694.00
  6. Step 6: Final answer
    x = 3,020.96

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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.