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Finding the Fourth Proportional to 13,067.64, 18,033.36 and 7,099.32

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Solution

The fourth proportional to 13,067.64, 18,033.36 and 7,099.32 is: 9,797.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,067.64 : 18,033.36 = 7,099.32 : x
  2. Step 2: Convert to fraction form
    13,067.64/18,033.36 = 7,099.32/x
  3. Step 3: Cross multiply
    13,067.64x = 18,033.36 × 7,099.32
  4. Step 4: Simplify right side
    13,067.64x = 128,024,593.32
  5. Step 5: Solve for x
    x = 128,024,593.32/13,067.64
  6. Step 6: Final answer
    x = 9,797.07

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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.