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Finding the Fourth Proportional to 8,511.62, 11,672.74 and 8,156.82

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Solution

The fourth proportional to 8,511.62, 11,672.74 and 8,156.82 is: 11,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.62 : 11,672.74 = 8,156.82 : x
  2. Step 2: Convert to fraction form
    8,511.62/11,672.74 = 8,156.82/x
  3. Step 3: Cross multiply
    8,511.62x = 11,672.74 × 8,156.82
  4. Step 4: Simplify right side
    8,511.62x = 95,212,398.30
  5. Step 5: Solve for x
    x = 95,212,398.30/8,511.62
  6. Step 6: Final answer
    x = 11,186.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.