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Finding the Fourth Proportional to 16,616.44, 22,930.68 and 9,164.44

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Solution

The fourth proportional to 16,616.44, 22,930.68 and 9,164.44 is: 12,646.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,616.44 : 22,930.68 = 9,164.44 : x
  2. Step 2: Convert to fraction form
    16,616.44/22,930.68 = 9,164.44/x
  3. Step 3: Cross multiply
    16,616.44x = 22,930.68 × 9,164.44
  4. Step 4: Simplify right side
    16,616.44x = 210,146,841.02
  5. Step 5: Solve for x
    x = 210,146,841.02/16,616.44
  6. Step 6: Final answer
    x = 12,646.92

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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.