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Finding the Fourth Proportional to 24,728.24, 37,098.44 and 7,198.22

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Solution

The fourth proportional to 24,728.24, 37,098.44 and 7,198.22 is: 10,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.24 : 37,098.44 = 7,198.22 : x
  2. Step 2: Convert to fraction form
    24,728.24/37,098.44 = 7,198.22/x
  3. Step 3: Cross multiply
    24,728.24x = 37,098.44 × 7,198.22
  4. Step 4: Simplify right side
    24,728.24x = 267,042,732.78
  5. Step 5: Solve for x
    x = 267,042,732.78/24,728.24
  6. Step 6: Final answer
    x = 10,799.10

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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.