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Finding the Fourth Proportional to 4,962, 6,847.68 and 2,974.56

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Solution

The fourth proportional to 4,962, 6,847.68 and 2,974.56 is: 4,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,962 : 6,847.68 = 2,974.56 : x
  2. Step 2: Convert to fraction form
    4,962/6,847.68 = 2,974.56/x
  3. Step 3: Cross multiply
    4,962x = 6,847.68 × 2,974.56
  4. Step 4: Simplify right side
    4,962x = 20,368,835.02
  5. Step 5: Solve for x
    x = 20,368,835.02/4,962
  6. Step 6: Final answer
    x = 4,104.96

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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.