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Finding the Fourth Proportional to 24,827.49, 37,241.22 and 7,297.31

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Solution

The fourth proportional to 24,827.49, 37,241.22 and 7,297.31 is: 10,945.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.49 : 37,241.22 = 7,297.31 : x
  2. Step 2: Convert to fraction form
    24,827.49/37,241.22 = 7,297.31/x
  3. Step 3: Cross multiply
    24,827.49x = 37,241.22 × 7,297.31
  4. Step 4: Simplify right side
    24,827.49x = 271,760,847.59
  5. Step 5: Solve for x
    x = 271,760,847.59/24,827.49
  6. Step 6: Final answer
    x = 10,945.97

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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.