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Finding the Fourth Proportional to 6,872.70, 9,486.39 and 4,079.82

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Solution

The fourth proportional to 6,872.70, 9,486.39 and 4,079.82 is: 5,631.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.70 : 9,486.39 = 4,079.82 : x
  2. Step 2: Convert to fraction form
    6,872.70/9,486.39 = 4,079.82/x
  3. Step 3: Cross multiply
    6,872.70x = 9,486.39 × 4,079.82
  4. Step 4: Simplify right side
    6,872.70x = 38,702,763.65
  5. Step 5: Solve for x
    x = 38,702,763.65/6,872.70
  6. Step 6: Final answer
    x = 5,631.38

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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.