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Finding the Fourth Proportional to 6,662.25, 9,193.79 and 3,678

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Solution

The fourth proportional to 6,662.25, 9,193.79 and 3,678 is: 5,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.25 : 9,193.79 = 3,678 : x
  2. Step 2: Convert to fraction form
    6,662.25/9,193.79 = 3,678/x
  3. Step 3: Cross multiply
    6,662.25x = 9,193.79 × 3,678
  4. Step 4: Simplify right side
    6,662.25x = 33,814,759.62
  5. Step 5: Solve for x
    x = 33,814,759.62/6,662.25
  6. Step 6: Final answer
    x = 5,075.58

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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.