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Finding the Fourth Proportional to 6,634.86, 9,957.15 and 5,351.82

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Solution

The fourth proportional to 6,634.86, 9,957.15 and 5,351.82 is: 8,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.86 : 9,957.15 = 5,351.82 : x
  2. Step 2: Convert to fraction form
    6,634.86/9,957.15 = 5,351.82/x
  3. Step 3: Cross multiply
    6,634.86x = 9,957.15 × 5,351.82
  4. Step 4: Simplify right side
    6,634.86x = 53,288,874.51
  5. Step 5: Solve for x
    x = 53,288,874.51/6,634.86
  6. Step 6: Final answer
    x = 8,031.65

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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.