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Finding the Fourth Proportional to 6,399.02, 9,591 and 2,447.67

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Solution

The fourth proportional to 6,399.02, 9,591 and 2,447.67 is: 3,668.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.02 : 9,591 = 2,447.67 : x
  2. Step 2: Convert to fraction form
    6,399.02/9,591 = 2,447.67/x
  3. Step 3: Cross multiply
    6,399.02x = 9,591 × 2,447.67
  4. Step 4: Simplify right side
    6,399.02x = 23,475,602.97
  5. Step 5: Solve for x
    x = 23,475,602.97/6,399.02
  6. Step 6: Final answer
    x = 3,668.63

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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.