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Finding the Fourth Proportional to 16,596.11, 22,902.62 and 9,144.11

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Solution

The fourth proportional to 16,596.11, 22,902.62 and 9,144.11 is: 12,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.11 : 22,902.62 = 9,144.11 : x
  2. Step 2: Convert to fraction form
    16,596.11/22,902.62 = 9,144.11/x
  3. Step 3: Cross multiply
    16,596.11x = 22,902.62 × 9,144.11
  4. Step 4: Simplify right side
    16,596.11x = 209,423,916.33
  5. Step 5: Solve for x
    x = 209,423,916.33/16,596.11
  6. Step 6: Final answer
    x = 12,618.86

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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.