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Finding the Fourth Proportional to 11,714.76, 16,174.17 and 6,936.26

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Solution

The fourth proportional to 11,714.76, 16,174.17 and 6,936.26 is: 9,576.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,714.76 : 16,174.17 = 6,936.26 : x
  2. Step 2: Convert to fraction form
    11,714.76/16,174.17 = 6,936.26/x
  3. Step 3: Cross multiply
    11,714.76x = 16,174.17 × 6,936.26
  4. Step 4: Simplify right side
    11,714.76x = 112,188,167.53
  5. Step 5: Solve for x
    x = 112,188,167.53/11,714.76
  6. Step 6: Final answer
    x = 9,576.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.