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Finding the Fourth Proportional to 11,998.52, 17,960.86 and 7,829.55

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Solution

The fourth proportional to 11,998.52, 17,960.86 and 7,829.55 is: 11,720.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.52 : 17,960.86 = 7,829.55 : x
  2. Step 2: Convert to fraction form
    11,998.52/17,960.86 = 7,829.55/x
  3. Step 3: Cross multiply
    11,998.52x = 17,960.86 × 7,829.55
  4. Step 4: Simplify right side
    11,998.52x = 140,625,451.41
  5. Step 5: Solve for x
    x = 140,625,451.41/11,998.52
  6. Step 6: Final answer
    x = 11,720.23

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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.