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Finding the Fourth Proportional to 6,701.69, 10,049.83 and 2,020.25

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Solution

The fourth proportional to 6,701.69, 10,049.83 and 2,020.25 is: 3,029.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.69 : 10,049.83 = 2,020.25 : x
  2. Step 2: Convert to fraction form
    6,701.69/10,049.83 = 2,020.25/x
  3. Step 3: Cross multiply
    6,701.69x = 10,049.83 × 2,020.25
  4. Step 4: Simplify right side
    6,701.69x = 20,303,169.06
  5. Step 5: Solve for x
    x = 20,303,169.06/6,701.69
  6. Step 6: Final answer
    x = 3,029.56

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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.