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Finding the Third Proportional to 4,198.08 and 6,397.73

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Solution

The third proportional to 4,198.08 and 6,397.73 is: 9,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.08 : 6,397.73 = 6,397.73 : x
  2. Step 2: Convert to fraction form
    4,198.08/6,397.73 = 6,397.73/x
  3. Step 3: Cross multiply
    4,198.08x = 6,397.73 × 6,397.73
  4. Step 4: Simplify right side
    4,198.08x = 40,931,005.13
  5. Step 5: Solve for x
    x = 40,931,005.13/4,198.08
  6. Step 6: Final answer
    x = 9,749.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.