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Finding the Fourth Proportional to 11,682.74, 17,497.73 and 8,188.31

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Solution

The fourth proportional to 11,682.74, 17,497.73 and 8,188.31 is: 12,263.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,682.74 : 17,497.73 = 8,188.31 : x
  2. Step 2: Convert to fraction form
    11,682.74/17,497.73 = 8,188.31/x
  3. Step 3: Cross multiply
    11,682.74x = 17,497.73 × 8,188.31
  4. Step 4: Simplify right side
    11,682.74x = 143,276,791.68
  5. Step 5: Solve for x
    x = 143,276,791.68/11,682.74
  6. Step 6: Final answer
    x = 12,263.97

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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.