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Finding the Fourth Proportional to 6,551.99, 9,050.94 and 5,843.61

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Solution

The fourth proportional to 6,551.99, 9,050.94 and 5,843.61 is: 8,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.99 : 9,050.94 = 5,843.61 : x
  2. Step 2: Convert to fraction form
    6,551.99/9,050.94 = 5,843.61/x
  3. Step 3: Cross multiply
    6,551.99x = 9,050.94 × 5,843.61
  4. Step 4: Simplify right side
    6,551.99x = 52,890,163.49
  5. Step 5: Solve for x
    x = 52,890,163.49/6,551.99
  6. Step 6: Final answer
    x = 8,072.38

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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.