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Finding the Fourth Proportional to 16,494.50, 22,762.46 and 8,940.84

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Solution

The fourth proportional to 16,494.50, 22,762.46 and 8,940.84 is: 12,338.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.50 : 22,762.46 = 8,940.84 : x
  2. Step 2: Convert to fraction form
    16,494.50/22,762.46 = 8,940.84/x
  3. Step 3: Cross multiply
    16,494.50x = 22,762.46 × 8,940.84
  4. Step 4: Simplify right side
    16,494.50x = 203,515,512.87
  5. Step 5: Solve for x
    x = 203,515,512.87/16,494.50
  6. Step 6: Final answer
    x = 12,338.39

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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.