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Finding the Fourth Proportional to 6,508.77, 9,768.62 and 2,813.82

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Solution

The fourth proportional to 6,508.77, 9,768.62 and 2,813.82 is: 4,223.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.77 : 9,768.62 = 2,813.82 : x
  2. Step 2: Convert to fraction form
    6,508.77/9,768.62 = 2,813.82/x
  3. Step 3: Cross multiply
    6,508.77x = 9,768.62 × 2,813.82
  4. Step 4: Simplify right side
    6,508.77x = 27,487,138.33
  5. Step 5: Solve for x
    x = 27,487,138.33/6,508.77
  6. Step 6: Final answer
    x = 4,223.09

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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.