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Finding the Fourth Proportional to 24,799.26, 37,198.70 and 9,997.70

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Solution

The fourth proportional to 24,799.26, 37,198.70 and 9,997.70 is: 14,996.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,799.26 : 37,198.70 = 9,997.70 : x
  2. Step 2: Convert to fraction form
    24,799.26/37,198.70 = 9,997.70/x
  3. Step 3: Cross multiply
    24,799.26x = 37,198.70 × 9,997.70
  4. Step 4: Simplify right side
    24,799.26x = 371,901,442.99
  5. Step 5: Solve for x
    x = 371,901,442.99/24,799.26
  6. Step 6: Final answer
    x = 14,996.47

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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.