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Finding the Fourth Proportional to 11,993.60, 17,967.02 and 7,301.97

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Solution

The fourth proportional to 11,993.60, 17,967.02 and 7,301.97 is: 10,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,993.60 : 17,967.02 = 7,301.97 : x
  2. Step 2: Convert to fraction form
    11,993.60/17,967.02 = 7,301.97/x
  3. Step 3: Cross multiply
    11,993.60x = 17,967.02 × 7,301.97
  4. Step 4: Simplify right side
    11,993.60x = 131,194,655.05
  5. Step 5: Solve for x
    x = 131,194,655.05/11,993.60
  6. Step 6: Final answer
    x = 10,938.72

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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.