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Finding the Fourth Proportional to 6,983, 9,636.54 and 3,839.12

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Solution

The fourth proportional to 6,983, 9,636.54 and 3,839.12 is: 5,297.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983 : 9,636.54 = 3,839.12 : x
  2. Step 2: Convert to fraction form
    6,983/9,636.54 = 3,839.12/x
  3. Step 3: Cross multiply
    6,983x = 9,636.54 × 3,839.12
  4. Step 4: Simplify right side
    6,983x = 36,995,833.44
  5. Step 5: Solve for x
    x = 36,995,833.44/6,983
  6. Step 6: Final answer
    x = 5,297.99

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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.