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Finding the Fourth Proportional to 11,841.27, 17,761.95 and 7,447.83

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Solution

The fourth proportional to 11,841.27, 17,761.95 and 7,447.83 is: 11,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.27 : 17,761.95 = 7,447.83 : x
  2. Step 2: Convert to fraction form
    11,841.27/17,761.95 = 7,447.83/x
  3. Step 3: Cross multiply
    11,841.27x = 17,761.95 × 7,447.83
  4. Step 4: Simplify right side
    11,841.27x = 132,287,984.07
  5. Step 5: Solve for x
    x = 132,287,984.07/11,841.27
  6. Step 6: Final answer
    x = 11,171.77

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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.