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Finding the Fourth Proportional to 6,844.82, 9,445.85 and 3,701

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Solution

The fourth proportional to 6,844.82, 9,445.85 and 3,701 is: 5,107.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,844.82 : 9,445.85 = 3,701 : x
  2. Step 2: Convert to fraction form
    6,844.82/9,445.85 = 3,701/x
  3. Step 3: Cross multiply
    6,844.82x = 9,445.85 × 3,701
  4. Step 4: Simplify right side
    6,844.82x = 34,959,072.35
  5. Step 5: Solve for x
    x = 34,959,072.35/6,844.82
  6. Step 6: Final answer
    x = 5,107.38

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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.