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Finding the Fourth Proportional to 6,873.44, 10,310.70 and 2,713.16

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Solution

The fourth proportional to 6,873.44, 10,310.70 and 2,713.16 is: 4,069.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.44 : 10,310.70 = 2,713.16 : x
  2. Step 2: Convert to fraction form
    6,873.44/10,310.70 = 2,713.16/x
  3. Step 3: Cross multiply
    6,873.44x = 10,310.70 × 2,713.16
  4. Step 4: Simplify right side
    6,873.44x = 27,974,578.81
  5. Step 5: Solve for x
    x = 27,974,578.81/6,873.44
  6. Step 6: Final answer
    x = 4,069.95

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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.