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Finding the Fourth Proportional to 16,520, 22,797.60 and 9,067.84

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Solution

The fourth proportional to 16,520, 22,797.60 and 9,067.84 is: 12,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,520 : 22,797.60 = 9,067.84 : x
  2. Step 2: Convert to fraction form
    16,520/22,797.60 = 9,067.84/x
  3. Step 3: Cross multiply
    16,520x = 22,797.60 × 9,067.84
  4. Step 4: Simplify right side
    16,520x = 206,724,989.18
  5. Step 5: Solve for x
    x = 206,724,989.18/16,520
  6. Step 6: Final answer
    x = 12,513.62

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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.