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Finding the Fourth Proportional to 7,768.97, 11,643.73 and 6,119

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Solution

The fourth proportional to 7,768.97, 11,643.73 and 6,119 is: 9,170.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.97 : 11,643.73 = 6,119 : x
  2. Step 2: Convert to fraction form
    7,768.97/11,643.73 = 6,119/x
  3. Step 3: Cross multiply
    7,768.97x = 11,643.73 × 6,119
  4. Step 4: Simplify right side
    7,768.97x = 71,247,983.87
  5. Step 5: Solve for x
    x = 71,247,983.87/7,768.97
  6. Step 6: Final answer
    x = 9,170.84

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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.