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Finding the Fourth Proportional to 6,757, 9,324.64 and 3,772.68

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Solution

The fourth proportional to 6,757, 9,324.64 and 3,772.68 is: 5,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,757 : 9,324.64 = 3,772.68 : x
  2. Step 2: Convert to fraction form
    6,757/9,324.64 = 3,772.68/x
  3. Step 3: Cross multiply
    6,757x = 9,324.64 × 3,772.68
  4. Step 4: Simplify right side
    6,757x = 35,178,882.84
  5. Step 5: Solve for x
    x = 35,178,882.84/6,757
  6. Step 6: Final answer
    x = 5,206.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.