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Finding the Fourth Proportional to 9,468, 13,067.04 and 6,824.16

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Solution

The fourth proportional to 9,468, 13,067.04 and 6,824.16 is: 9,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468 : 13,067.04 = 6,824.16 : x
  2. Step 2: Convert to fraction form
    9,468/13,067.04 = 6,824.16/x
  3. Step 3: Cross multiply
    9,468x = 13,067.04 × 6,824.16
  4. Step 4: Simplify right side
    9,468x = 89,171,571.69
  5. Step 5: Solve for x
    x = 89,171,571.69/9,468
  6. Step 6: Final answer
    x = 9,418.21

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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.