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Finding the Fourth Proportional to 16,474.86, 22,735.62 and 9,022.86

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Solution

The fourth proportional to 16,474.86, 22,735.62 and 9,022.86 is: 12,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.86 : 22,735.62 = 9,022.86 : x
  2. Step 2: Convert to fraction form
    16,474.86/22,735.62 = 9,022.86/x
  3. Step 3: Cross multiply
    16,474.86x = 22,735.62 × 9,022.86
  4. Step 4: Simplify right side
    16,474.86x = 205,140,316.27
  5. Step 5: Solve for x
    x = 205,140,316.27/16,474.86
  6. Step 6: Final answer
    x = 12,451.72

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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.