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Finding the Fourth Proportional to 6,949.84, 10,425.34 and 2,019.48

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Solution

The fourth proportional to 6,949.84, 10,425.34 and 2,019.48 is: 3,029.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.84 : 10,425.34 = 2,019.48 : x
  2. Step 2: Convert to fraction form
    6,949.84/10,425.34 = 2,019.48/x
  3. Step 3: Cross multiply
    6,949.84x = 10,425.34 × 2,019.48
  4. Step 4: Simplify right side
    6,949.84x = 21,053,765.62
  5. Step 5: Solve for x
    x = 21,053,765.62/6,949.84
  6. Step 6: Final answer
    x = 3,029.39

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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.