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Finding the Fourth Proportional to 6,162.67, 8,502.33 and 3,509.38

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Solution

The fourth proportional to 6,162.67, 8,502.33 and 3,509.38 is: 4,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.67 : 8,502.33 = 3,509.38 : x
  2. Step 2: Convert to fraction form
    6,162.67/8,502.33 = 3,509.38/x
  3. Step 3: Cross multiply
    6,162.67x = 8,502.33 × 3,509.38
  4. Step 4: Simplify right side
    6,162.67x = 29,837,906.86
  5. Step 5: Solve for x
    x = 29,837,906.86/6,162.67
  6. Step 6: Final answer
    x = 4,841.72

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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.