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Finding the Fourth Proportional to 6,687.86, 10,034.07 and 2,529.07

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Solution

The fourth proportional to 6,687.86, 10,034.07 and 2,529.07 is: 3,794.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687.86 : 10,034.07 = 2,529.07 : x
  2. Step 2: Convert to fraction form
    6,687.86/10,034.07 = 2,529.07/x
  3. Step 3: Cross multiply
    6,687.86x = 10,034.07 × 2,529.07
  4. Step 4: Simplify right side
    6,687.86x = 25,376,815.24
  5. Step 5: Solve for x
    x = 25,376,815.24/6,687.86
  6. Step 6: Final answer
    x = 3,794.46

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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.