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Finding the Fourth Proportional to 6,141.07, 9,211.52 and 3,676.57

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Solution

The fourth proportional to 6,141.07, 9,211.52 and 3,676.57 is: 5,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.07 : 9,211.52 = 3,676.57 : x
  2. Step 2: Convert to fraction form
    6,141.07/9,211.52 = 3,676.57/x
  3. Step 3: Cross multiply
    6,141.07x = 9,211.52 × 3,676.57
  4. Step 4: Simplify right side
    6,141.07x = 33,866,733.65
  5. Step 5: Solve for x
    x = 33,866,733.65/6,141.07
  6. Step 6: Final answer
    x = 5,514.80

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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.