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Finding the Fourth Proportional to 16,297.58, 22,489.98 and 9,224.39

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Solution

The fourth proportional to 16,297.58, 22,489.98 and 9,224.39 is: 12,729.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,297.58 : 22,489.98 = 9,224.39 : x
  2. Step 2: Convert to fraction form
    16,297.58/22,489.98 = 9,224.39/x
  3. Step 3: Cross multiply
    16,297.58x = 22,489.98 × 9,224.39
  4. Step 4: Simplify right side
    16,297.58x = 207,456,346.61
  5. Step 5: Solve for x
    x = 207,456,346.61/16,297.58
  6. Step 6: Final answer
    x = 12,729.27

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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.