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Finding the Fourth Proportional to 16,646, 22,972.94 and 9,195.44

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Solution

The fourth proportional to 16,646, 22,972.94 and 9,195.44 is: 12,690.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,646 : 22,972.94 = 9,195.44 : x
  2. Step 2: Convert to fraction form
    16,646/22,972.94 = 9,195.44/x
  3. Step 3: Cross multiply
    16,646x = 22,972.94 × 9,195.44
  4. Step 4: Simplify right side
    16,646x = 211,246,291.39
  5. Step 5: Solve for x
    x = 211,246,291.39/16,646
  6. Step 6: Final answer
    x = 12,690.51

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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.