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Finding the Fourth Proportional to 16,046.64, 22,144.97 and 8,973.05

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Solution

The fourth proportional to 16,046.64, 22,144.97 and 8,973.05 is: 12,383.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046.64 : 22,144.97 = 8,973.05 : x
  2. Step 2: Convert to fraction form
    16,046.64/22,144.97 = 8,973.05/x
  3. Step 3: Cross multiply
    16,046.64x = 22,144.97 × 8,973.05
  4. Step 4: Simplify right side
    16,046.64x = 198,707,917.81
  5. Step 5: Solve for x
    x = 198,707,917.81/16,046.64
  6. Step 6: Final answer
    x = 12,383.15

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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.