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Finding the Fourth Proportional to 6,896.54, 10,344.20 and 2,512.82

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Solution

The fourth proportional to 6,896.54, 10,344.20 and 2,512.82 is: 3,769.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.54 : 10,344.20 = 2,512.82 : x
  2. Step 2: Convert to fraction form
    6,896.54/10,344.20 = 2,512.82/x
  3. Step 3: Cross multiply
    6,896.54x = 10,344.20 × 2,512.82
  4. Step 4: Simplify right side
    6,896.54x = 25,993,112.64
  5. Step 5: Solve for x
    x = 25,993,112.64/6,896.54
  6. Step 6: Final answer
    x = 3,769.01

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1.5x scale

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.