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Finding the Fourth Proportional to 6,618.14, 9,133.14 and 3,634.25

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Solution

The fourth proportional to 6,618.14, 9,133.14 and 3,634.25 is: 5,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.14 : 9,133.14 = 3,634.25 : x
  2. Step 2: Convert to fraction form
    6,618.14/9,133.14 = 3,634.25/x
  3. Step 3: Cross multiply
    6,618.14x = 9,133.14 × 3,634.25
  4. Step 4: Simplify right side
    6,618.14x = 33,192,114.05
  5. Step 5: Solve for x
    x = 33,192,114.05/6,618.14
  6. Step 6: Final answer
    x = 5,015.32

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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.