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Finding the Fourth Proportional to 6,798.38, 9,384.69 and 6,372.82

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Solution

The fourth proportional to 6,798.38, 9,384.69 and 6,372.82 is: 8,797.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.38 : 9,384.69 = 6,372.82 : x
  2. Step 2: Convert to fraction form
    6,798.38/9,384.69 = 6,372.82/x
  3. Step 3: Cross multiply
    6,798.38x = 9,384.69 × 6,372.82
  4. Step 4: Simplify right side
    6,798.38x = 59,806,940.13
  5. Step 5: Solve for x
    x = 59,806,940.13/6,798.38
  6. Step 6: Final answer
    x = 8,797.24

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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.