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Finding the Fourth Proportional to 6,491.01, 9,736.57 and 3,567.72

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Solution

The fourth proportional to 6,491.01, 9,736.57 and 3,567.72 is: 5,351.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.01 : 9,736.57 = 3,567.72 : x
  2. Step 2: Convert to fraction form
    6,491.01/9,736.57 = 3,567.72/x
  3. Step 3: Cross multiply
    6,491.01x = 9,736.57 × 3,567.72
  4. Step 4: Simplify right side
    6,491.01x = 34,737,355.52
  5. Step 5: Solve for x
    x = 34,737,355.52/6,491.01
  6. Step 6: Final answer
    x = 5,351.61

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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.