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Finding the Fourth Proportional to 16,006.54, 22,089 and 8,836.90

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Solution

The fourth proportional to 16,006.54, 22,089 and 8,836.90 is: 12,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,006.54 : 22,089 = 8,836.90 : x
  2. Step 2: Convert to fraction form
    16,006.54/22,089 = 8,836.90/x
  3. Step 3: Cross multiply
    16,006.54x = 22,089 × 8,836.90
  4. Step 4: Simplify right side
    16,006.54x = 195,198,284.10
  5. Step 5: Solve for x
    x = 195,198,284.10/16,006.54
  6. Step 6: Final answer
    x = 12,194.91

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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.