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Finding the Fourth Proportional to 6,864, 9,474.78 and 4,069.50

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Solution

The fourth proportional to 6,864, 9,474.78 and 4,069.50 is: 5,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864 : 9,474.78 = 4,069.50 : x
  2. Step 2: Convert to fraction form
    6,864/9,474.78 = 4,069.50/x
  3. Step 3: Cross multiply
    6,864x = 9,474.78 × 4,069.50
  4. Step 4: Simplify right side
    6,864x = 38,557,617.21
  5. Step 5: Solve for x
    x = 38,557,617.21/6,864
  6. Step 6: Final answer
    x = 5,617.37

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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.