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Finding the Fourth Proportional to 11,761.61, 17,636.87 and 6,832.62

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Solution

The fourth proportional to 11,761.61, 17,636.87 and 6,832.62 is: 10,245.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.61 : 17,636.87 = 6,832.62 : x
  2. Step 2: Convert to fraction form
    11,761.61/17,636.87 = 6,832.62/x
  3. Step 3: Cross multiply
    11,761.61x = 17,636.87 × 6,832.62
  4. Step 4: Simplify right side
    11,761.61x = 120,506,047.78
  5. Step 5: Solve for x
    x = 120,506,047.78/11,761.61
  6. Step 6: Final answer
    x = 10,245.71

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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.