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Finding the Fourth Proportional to 6,392.02, 9,584.25 and 2,491.87

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Solution

The fourth proportional to 6,392.02, 9,584.25 and 2,491.87 is: 3,736.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.02 : 9,584.25 = 2,491.87 : x
  2. Step 2: Convert to fraction form
    6,392.02/9,584.25 = 2,491.87/x
  3. Step 3: Cross multiply
    6,392.02x = 9,584.25 × 2,491.87
  4. Step 4: Simplify right side
    6,392.02x = 23,882,705.05
  5. Step 5: Solve for x
    x = 23,882,705.05/6,392.02
  6. Step 6: Final answer
    x = 3,736.33

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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.