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Finding the Fourth Proportional to 16,067.52, 22,167 and 9,352.08

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Solution

The fourth proportional to 16,067.52, 22,167 and 9,352.08 is: 12,902.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,067.52 : 22,167 = 9,352.08 : x
  2. Step 2: Convert to fraction form
    16,067.52/22,167 = 9,352.08/x
  3. Step 3: Cross multiply
    16,067.52x = 22,167 × 9,352.08
  4. Step 4: Simplify right side
    16,067.52x = 207,307,557.36
  5. Step 5: Solve for x
    x = 207,307,557.36/16,067.52
  6. Step 6: Final answer
    x = 12,902.27

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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.