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Finding the Fourth Proportional to 6,601.69, 9,902.58 and 2,706.13

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Solution

The fourth proportional to 6,601.69, 9,902.58 and 2,706.13 is: 4,059.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.69 : 9,902.58 = 2,706.13 : x
  2. Step 2: Convert to fraction form
    6,601.69/9,902.58 = 2,706.13/x
  3. Step 3: Cross multiply
    6,601.69x = 9,902.58 × 2,706.13
  4. Step 4: Simplify right side
    6,601.69x = 26,797,668.82
  5. Step 5: Solve for x
    x = 26,797,668.82/6,601.69
  6. Step 6: Final answer
    x = 4,059.21

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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.