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Finding the Fourth Proportional to 6,496.28, 9,745.28 and 2,112.25

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Solution

The fourth proportional to 6,496.28, 9,745.28 and 2,112.25 is: 3,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.28 : 9,745.28 = 2,112.25 : x
  2. Step 2: Convert to fraction form
    6,496.28/9,745.28 = 2,112.25/x
  3. Step 3: Cross multiply
    6,496.28x = 9,745.28 × 2,112.25
  4. Step 4: Simplify right side
    6,496.28x = 20,584,467.68
  5. Step 5: Solve for x
    x = 20,584,467.68/6,496.28
  6. Step 6: Final answer
    x = 3,168.65

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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.