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Finding the Fourth Proportional to 6,960.24, 10,443 and 4,188.82

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Solution

The fourth proportional to 6,960.24, 10,443 and 4,188.82 is: 6,284.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960.24 : 10,443 = 4,188.82 : x
  2. Step 2: Convert to fraction form
    6,960.24/10,443 = 4,188.82/x
  3. Step 3: Cross multiply
    6,960.24x = 10,443 × 4,188.82
  4. Step 4: Simplify right side
    6,960.24x = 43,743,847.26
  5. Step 5: Solve for x
    x = 43,743,847.26/6,960.24
  6. Step 6: Final answer
    x = 6,284.82

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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.