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Finding the Fourth Proportional to 6,687.27, 10,027.53 and 3,914.82

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Solution

The fourth proportional to 6,687.27, 10,027.53 and 3,914.82 is: 5,870.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.27 : 10,027.53 = 3,914.82 : x
  2. Step 2: Convert to fraction form
    6,687.27/10,027.53 = 3,914.82/x
  3. Step 3: Cross multiply
    6,687.27x = 10,027.53 × 3,914.82
  4. Step 4: Simplify right side
    6,687.27x = 39,255,974.99
  5. Step 5: Solve for x
    x = 39,255,974.99/6,687.27
  6. Step 6: Final answer
    x = 5,870.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.