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Finding the Fourth Proportional to 6,385.82, 9,535.68 and 5,218.11

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Solution

The fourth proportional to 6,385.82, 9,535.68 and 5,218.11 is: 7,791.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.82 : 9,535.68 = 5,218.11 : x
  2. Step 2: Convert to fraction form
    6,385.82/9,535.68 = 5,218.11/x
  3. Step 3: Cross multiply
    6,385.82x = 9,535.68 × 5,218.11
  4. Step 4: Simplify right side
    6,385.82x = 49,758,227.16
  5. Step 5: Solve for x
    x = 49,758,227.16/6,385.82
  6. Step 6: Final answer
    x = 7,791.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.