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Finding the Fourth Proportional to 6,992.91, 10,489.32 and 2,832.86

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Solution

The fourth proportional to 6,992.91, 10,489.32 and 2,832.86 is: 4,249.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992.91 : 10,489.32 = 2,832.86 : x
  2. Step 2: Convert to fraction form
    6,992.91/10,489.32 = 2,832.86/x
  3. Step 3: Cross multiply
    6,992.91x = 10,489.32 × 2,832.86
  4. Step 4: Simplify right side
    6,992.91x = 29,714,801.28
  5. Step 5: Solve for x
    x = 29,714,801.28/6,992.91
  6. Step 6: Final answer
    x = 4,249.28

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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.