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Finding the Fourth Proportional to 6,197, 8,551.92 and 3,402.56

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Solution

The fourth proportional to 6,197, 8,551.92 and 3,402.56 is: 4,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197 : 8,551.92 = 3,402.56 : x
  2. Step 2: Convert to fraction form
    6,197/8,551.92 = 3,402.56/x
  3. Step 3: Cross multiply
    6,197x = 8,551.92 × 3,402.56
  4. Step 4: Simplify right side
    6,197x = 29,098,420.92
  5. Step 5: Solve for x
    x = 29,098,420.92/6,197
  6. Step 6: Final answer
    x = 4,695.57

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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.