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Finding the Fourth Proportional to 14,644.73, 20,209.77 and 7,930.31

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Solution

The fourth proportional to 14,644.73, 20,209.77 and 7,930.31 is: 10,943.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,644.73 : 20,209.77 = 7,930.31 : x
  2. Step 2: Convert to fraction form
    14,644.73/20,209.77 = 7,930.31/x
  3. Step 3: Cross multiply
    14,644.73x = 20,209.77 × 7,930.31
  4. Step 4: Simplify right side
    14,644.73x = 160,269,640.08
  5. Step 5: Solve for x
    x = 160,269,640.08/14,644.73
  6. Step 6: Final answer
    x = 10,943.84

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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.