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Finding the Fourth Proportional to 6,412.75, 9,619.49 and 1,796.11

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Solution

The fourth proportional to 6,412.75, 9,619.49 and 1,796.11 is: 2,694.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.75 : 9,619.49 = 1,796.11 : x
  2. Step 2: Convert to fraction form
    6,412.75/9,619.49 = 1,796.11/x
  3. Step 3: Cross multiply
    6,412.75x = 9,619.49 × 1,796.11
  4. Step 4: Simplify right side
    6,412.75x = 17,277,662.18
  5. Step 5: Solve for x
    x = 17,277,662.18/6,412.75
  6. Step 6: Final answer
    x = 2,694.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.