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Finding the Fourth Proportional to 6,896.52, 10,339.08 and 3,201.42

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Solution

The fourth proportional to 6,896.52, 10,339.08 and 3,201.42 is: 4,799.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.52 : 10,339.08 = 3,201.42 : x
  2. Step 2: Convert to fraction form
    6,896.52/10,339.08 = 3,201.42/x
  3. Step 3: Cross multiply
    6,896.52x = 10,339.08 × 3,201.42
  4. Step 4: Simplify right side
    6,896.52x = 33,099,737.49
  5. Step 5: Solve for x
    x = 33,099,737.49/6,896.52
  6. Step 6: Final answer
    x = 4,799.48

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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.