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Finding the Fourth Proportional to 19,997.44, 29,997 and 7,516.24

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Solution

The fourth proportional to 19,997.44, 29,997 and 7,516.24 is: 11,274.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.44 : 29,997 = 7,516.24 : x
  2. Step 2: Convert to fraction form
    19,997.44/29,997 = 7,516.24/x
  3. Step 3: Cross multiply
    19,997.44x = 29,997 × 7,516.24
  4. Step 4: Simplify right side
    19,997.44x = 225,464,651.28
  5. Step 5: Solve for x
    x = 225,464,651.28/19,997.44
  6. Step 6: Final answer
    x = 11,274.68

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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.