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Finding the Fourth Proportional to 9,264.86, 12,791.48 and 8,268.44

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Solution

The fourth proportional to 9,264.86, 12,791.48 and 8,268.44 is: 11,415.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.86 : 12,791.48 = 8,268.44 : x
  2. Step 2: Convert to fraction form
    9,264.86/12,791.48 = 8,268.44/x
  3. Step 3: Cross multiply
    9,264.86x = 12,791.48 × 8,268.44
  4. Step 4: Simplify right side
    9,264.86x = 105,765,584.89
  5. Step 5: Solve for x
    x = 105,765,584.89/9,264.86
  6. Step 6: Final answer
    x = 11,415.78

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1.5x scale

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.