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Finding the Fourth Proportional to 6,873.08, 10,310.76 and 2,255

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Solution

The fourth proportional to 6,873.08, 10,310.76 and 2,255 is: 3,382.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.08 : 10,310.76 = 2,255 : x
  2. Step 2: Convert to fraction form
    6,873.08/10,310.76 = 2,255/x
  3. Step 3: Cross multiply
    6,873.08x = 10,310.76 × 2,255
  4. Step 4: Simplify right side
    6,873.08x = 23,250,763.80
  5. Step 5: Solve for x
    x = 23,250,763.80/6,873.08
  6. Step 6: Final answer
    x = 3,382.87

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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.