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Finding the Fourth Proportional to 11,612.97, 17,431.74 and 7,233.44

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Solution

The fourth proportional to 11,612.97, 17,431.74 and 7,233.44 is: 10,857.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.97 : 17,431.74 = 7,233.44 : x
  2. Step 2: Convert to fraction form
    11,612.97/17,431.74 = 7,233.44/x
  3. Step 3: Cross multiply
    11,612.97x = 17,431.74 × 7,233.44
  4. Step 4: Simplify right side
    11,612.97x = 126,091,358.23
  5. Step 5: Solve for x
    x = 126,091,358.23/11,612.97
  6. Step 6: Final answer
    x = 10,857.80

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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.