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Finding the Fourth Proportional to 11,679.60, 17,524.62 and 6,344.40

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Solution

The fourth proportional to 11,679.60, 17,524.62 and 6,344.40 is: 9,519.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.60 : 17,524.62 = 6,344.40 : x
  2. Step 2: Convert to fraction form
    11,679.60/17,524.62 = 6,344.40/x
  3. Step 3: Cross multiply
    11,679.60x = 17,524.62 × 6,344.40
  4. Step 4: Simplify right side
    11,679.60x = 111,183,199.13
  5. Step 5: Solve for x
    x = 111,183,199.13/11,679.60
  6. Step 6: Final answer
    x = 9,519.44

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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.