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Finding the Fourth Proportional to 6,949.46, 10,424.23 and 2,019.13

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Solution

The fourth proportional to 6,949.46, 10,424.23 and 2,019.13 is: 3,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,949.46 : 10,424.23 = 2,019.13 : x
  2. Step 2: Convert to fraction form
    6,949.46/10,424.23 = 2,019.13/x
  3. Step 3: Cross multiply
    6,949.46x = 10,424.23 × 2,019.13
  4. Step 4: Simplify right side
    6,949.46x = 21,047,844.41
  5. Step 5: Solve for x
    x = 21,047,844.41/6,949.46
  6. Step 6: Final answer
    x = 3,028.70

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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.