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Finding the Fourth Proportional to 6,698.61, 10,049.67 and 2,018.79

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Solution

The fourth proportional to 6,698.61, 10,049.67 and 2,018.79 is: 3,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.61 : 10,049.67 = 2,018.79 : x
  2. Step 2: Convert to fraction form
    6,698.61/10,049.67 = 2,018.79/x
  3. Step 3: Cross multiply
    6,698.61x = 10,049.67 × 2,018.79
  4. Step 4: Simplify right side
    6,698.61x = 20,288,173.30
  5. Step 5: Solve for x
    x = 20,288,173.30/6,698.61
  6. Step 6: Final answer
    x = 3,028.71

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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.