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Finding the Fourth Proportional to 6,540.50, 9,809.71 and 2,841.74

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Solution

The fourth proportional to 6,540.50, 9,809.71 and 2,841.74 is: 4,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.50 : 9,809.71 = 2,841.74 : x
  2. Step 2: Convert to fraction form
    6,540.50/9,809.71 = 2,841.74/x
  3. Step 3: Cross multiply
    6,540.50x = 9,809.71 × 2,841.74
  4. Step 4: Simplify right side
    6,540.50x = 27,876,625.93
  5. Step 5: Solve for x
    x = 27,876,625.93/6,540.50
  6. Step 6: Final answer
    x = 4,262.15

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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.