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Finding the Fourth Proportional to 6,736.50, 9,297 and 3,942

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Solution

The fourth proportional to 6,736.50, 9,297 and 3,942 is: 5,440.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.50 : 9,297 = 3,942 : x
  2. Step 2: Convert to fraction form
    6,736.50/9,297 = 3,942/x
  3. Step 3: Cross multiply
    6,736.50x = 9,297 × 3,942
  4. Step 4: Simplify right side
    6,736.50x = 36,648,774
  5. Step 5: Solve for x
    x = 36,648,774/6,736.50
  6. Step 6: Final answer
    x = 5,440.33

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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.