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Finding the Fourth Proportional to 6,696.75, 10,045.74 and 2,747.09

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Solution

The fourth proportional to 6,696.75, 10,045.74 and 2,747.09 is: 4,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.75 : 10,045.74 = 2,747.09 : x
  2. Step 2: Convert to fraction form
    6,696.75/10,045.74 = 2,747.09/x
  3. Step 3: Cross multiply
    6,696.75x = 10,045.74 × 2,747.09
  4. Step 4: Simplify right side
    6,696.75x = 27,596,551.90
  5. Step 5: Solve for x
    x = 27,596,551.90/6,696.75
  6. Step 6: Final answer
    x = 4,120.89

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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.