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Finding the Fourth Proportional to 6,980.35, 10,472.01 and 2,049.61

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Solution

The fourth proportional to 6,980.35, 10,472.01 and 2,049.61 is: 3,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.35 : 10,472.01 = 2,049.61 : x
  2. Step 2: Convert to fraction form
    6,980.35/10,472.01 = 2,049.61/x
  3. Step 3: Cross multiply
    6,980.35x = 10,472.01 × 2,049.61
  4. Step 4: Simplify right side
    6,980.35x = 21,463,536.42
  5. Step 5: Solve for x
    x = 21,463,536.42/6,980.35
  6. Step 6: Final answer
    x = 3,074.85

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