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Finding the Fourth Proportional to 6,662.07, 9,193.39 and 3,677.87

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Solution

The fourth proportional to 6,662.07, 9,193.39 and 3,677.87 is: 5,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.07 : 9,193.39 = 3,677.87 : x
  2. Step 2: Convert to fraction form
    6,662.07/9,193.39 = 3,677.87/x
  3. Step 3: Cross multiply
    6,662.07x = 9,193.39 × 3,677.87
  4. Step 4: Simplify right side
    6,662.07x = 33,812,107.07
  5. Step 5: Solve for x
    x = 33,812,107.07/6,662.07
  6. Step 6: Final answer
    x = 5,075.32

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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.