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Finding the Fourth Proportional to 24,799.40, 37,199.10 and 9,213.80

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Solution

The fourth proportional to 24,799.40, 37,199.10 and 9,213.80 is: 13,820.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799.40 : 37,199.10 = 9,213.80 : x
  2. Step 2: Convert to fraction form
    24,799.40/37,199.10 = 9,213.80/x
  3. Step 3: Cross multiply
    24,799.40x = 37,199.10 × 9,213.80
  4. Step 4: Simplify right side
    24,799.40x = 342,745,067.58
  5. Step 5: Solve for x
    x = 342,745,067.58/24,799.40
  6. Step 6: Final answer
    x = 13,820.70

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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.