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Finding the Fourth Proportional to 6,266.66, 9,391.78 and 2,564.66

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Solution

The fourth proportional to 6,266.66, 9,391.78 and 2,564.66 is: 3,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.66 : 9,391.78 = 2,564.66 : x
  2. Step 2: Convert to fraction form
    6,266.66/9,391.78 = 2,564.66/x
  3. Step 3: Cross multiply
    6,266.66x = 9,391.78 × 2,564.66
  4. Step 4: Simplify right side
    6,266.66x = 24,086,722.49
  5. Step 5: Solve for x
    x = 24,086,722.49/6,266.66
  6. Step 6: Final answer
    x = 3,843.63

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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.