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Finding the Fourth Proportional to 6,727.98, 10,091.98 and 3,217.16

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Solution

The fourth proportional to 6,727.98, 10,091.98 and 3,217.16 is: 4,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.98 : 10,091.98 = 3,217.16 : x
  2. Step 2: Convert to fraction form
    6,727.98/10,091.98 = 3,217.16/x
  3. Step 3: Cross multiply
    6,727.98x = 10,091.98 × 3,217.16
  4. Step 4: Simplify right side
    6,727.98x = 32,467,514.38
  5. Step 5: Solve for x
    x = 32,467,514.38/6,727.98
  6. Step 6: Final answer
    x = 4,825.74

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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.