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Finding the Fourth Proportional to 6,947.81, 10,422.79 and 2,266.73

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Solution

The fourth proportional to 6,947.81, 10,422.79 and 2,266.73 is: 3,400.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,947.81 : 10,422.79 = 2,266.73 : x
  2. Step 2: Convert to fraction form
    6,947.81/10,422.79 = 2,266.73/x
  3. Step 3: Cross multiply
    6,947.81x = 10,422.79 × 2,266.73
  4. Step 4: Simplify right side
    6,947.81x = 23,625,682.50
  5. Step 5: Solve for x
    x = 23,625,682.50/6,947.81
  6. Step 6: Final answer
    x = 3,400.45

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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.