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Finding the Fourth Proportional to 6,214.86, 8,576.82 and 4,115.34

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Solution

The fourth proportional to 6,214.86, 8,576.82 and 4,115.34 is: 5,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 8,576.82 = 4,115.34 : x
  2. Step 2: Convert to fraction form
    6,214.86/8,576.82 = 4,115.34/x
  3. Step 3: Cross multiply
    6,214.86x = 8,576.82 × 4,115.34
  4. Step 4: Simplify right side
    6,214.86x = 35,296,530.42
  5. Step 5: Solve for x
    x = 35,296,530.42/6,214.86
  6. Step 6: Final answer
    x = 5,679.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.