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Finding the Fourth Proportional to 6,728.48, 10,094.10 and 2,832.86

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Solution

The fourth proportional to 6,728.48, 10,094.10 and 2,832.86 is: 4,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.48 : 10,094.10 = 2,832.86 : x
  2. Step 2: Convert to fraction form
    6,728.48/10,094.10 = 2,832.86/x
  3. Step 3: Cross multiply
    6,728.48x = 10,094.10 × 2,832.86
  4. Step 4: Simplify right side
    6,728.48x = 28,595,172.13
  5. Step 5: Solve for x
    x = 28,595,172.13/6,728.48
  6. Step 6: Final answer
    x = 4,249.87

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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.