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Finding the Fourth Proportional to 14,593.62, 20,147.49 and 9,640.02

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Solution

The fourth proportional to 14,593.62, 20,147.49 and 9,640.02 is: 13,308.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,593.62 : 20,147.49 = 9,640.02 : x
  2. Step 2: Convert to fraction form
    14,593.62/20,147.49 = 9,640.02/x
  3. Step 3: Cross multiply
    14,593.62x = 20,147.49 × 9,640.02
  4. Step 4: Simplify right side
    14,593.62x = 194,222,206.55
  5. Step 5: Solve for x
    x = 194,222,206.55/14,593.62
  6. Step 6: Final answer
    x = 13,308.71

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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.