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Finding the Fourth Proportional to 6,992.96, 10,489.31 and 2,832.80

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Solution

The fourth proportional to 6,992.96, 10,489.31 and 2,832.80 is: 4,249.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.96 : 10,489.31 = 2,832.80 : x
  2. Step 2: Convert to fraction form
    6,992.96/10,489.31 = 2,832.80/x
  3. Step 3: Cross multiply
    6,992.96x = 10,489.31 × 2,832.80
  4. Step 4: Simplify right side
    6,992.96x = 29,714,103.20
  5. Step 5: Solve for x
    x = 29,714,103.20/6,992.96
  6. Step 6: Final answer
    x = 4,249.15

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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.