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Finding the Fourth Proportional to 12,223.73, 18,324.65 and 6,384.44

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Solution

The fourth proportional to 12,223.73, 18,324.65 and 6,384.44 is: 9,570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.73 : 18,324.65 = 6,384.44 : x
  2. Step 2: Convert to fraction form
    12,223.73/18,324.65 = 6,384.44/x
  3. Step 3: Cross multiply
    12,223.73x = 18,324.65 × 6,384.44
  4. Step 4: Simplify right side
    12,223.73x = 116,992,504.90
  5. Step 5: Solve for x
    x = 116,992,504.90/12,223.73
  6. Step 6: Final answer
    x = 9,570.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.