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Finding the Fourth Proportional to 11,761.34, 17,642.10 and 2,996.26

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Solution

The fourth proportional to 11,761.34, 17,642.10 and 2,996.26 is: 4,494.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.34 : 17,642.10 = 2,996.26 : x
  2. Step 2: Convert to fraction form
    11,761.34/17,642.10 = 2,996.26/x
  3. Step 3: Cross multiply
    11,761.34x = 17,642.10 × 2,996.26
  4. Step 4: Simplify right side
    11,761.34x = 52,860,318.55
  5. Step 5: Solve for x
    x = 52,860,318.55/11,761.34
  6. Step 6: Final answer
    x = 4,494.41

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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.