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Finding the Fourth Proportional to 6,796, 9,376.14 and 3,962.56

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Solution

The fourth proportional to 6,796, 9,376.14 and 3,962.56 is: 5,466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,796 : 9,376.14 = 3,962.56 : x
  2. Step 2: Convert to fraction form
    6,796/9,376.14 = 3,962.56/x
  3. Step 3: Cross multiply
    6,796x = 9,376.14 × 3,962.56
  4. Step 4: Simplify right side
    6,796x = 37,153,517.32
  5. Step 5: Solve for x
    x = 37,153,517.32/6,796
  6. Step 6: Final answer
    x = 5,466.97

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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.