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Finding the Fourth Proportional to 11,297.68, 16,932.62 and 8,188.34

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Solution

The fourth proportional to 11,297.68, 16,932.62 and 8,188.34 is: 12,272.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,297.68 : 16,932.62 = 8,188.34 : x
  2. Step 2: Convert to fraction form
    11,297.68/16,932.62 = 8,188.34/x
  3. Step 3: Cross multiply
    11,297.68x = 16,932.62 × 8,188.34
  4. Step 4: Simplify right side
    11,297.68x = 138,650,057.67
  5. Step 5: Solve for x
    x = 138,650,057.67/11,297.68
  6. Step 6: Final answer
    x = 12,272.44

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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.