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Finding the Fourth Proportional to 9,216.88, 13,825.16 and 2,642.92

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Solution

The fourth proportional to 9,216.88, 13,825.16 and 2,642.92 is: 3,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.88 : 13,825.16 = 2,642.92 : x
  2. Step 2: Convert to fraction form
    9,216.88/13,825.16 = 2,642.92/x
  3. Step 3: Cross multiply
    9,216.88x = 13,825.16 × 2,642.92
  4. Step 4: Simplify right side
    9,216.88x = 36,538,791.87
  5. Step 5: Solve for x
    x = 36,538,791.87/9,216.88
  6. Step 6: Final answer
    x = 3,964.33

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1.5x scale

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.