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Finding the Fourth Proportional to 6,692, 9,234.96 and 3,748

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Solution

The fourth proportional to 6,692, 9,234.96 and 3,748 is: 5,172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,692 : 9,234.96 = 3,748 : x
  2. Step 2: Convert to fraction form
    6,692/9,234.96 = 3,748/x
  3. Step 3: Cross multiply
    6,692x = 9,234.96 × 3,748
  4. Step 4: Simplify right side
    6,692x = 34,612,630.08
  5. Step 5: Solve for x
    x = 34,612,630.08/6,692
  6. Step 6: Final answer
    x = 5,172.24

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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.