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Finding the Fourth Proportional to 11,970.93, 17,906.39 and 8,412.80

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Solution

The fourth proportional to 11,970.93, 17,906.39 and 8,412.80 is: 12,584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.93 : 17,906.39 = 8,412.80 : x
  2. Step 2: Convert to fraction form
    11,970.93/17,906.39 = 8,412.80/x
  3. Step 3: Cross multiply
    11,970.93x = 17,906.39 × 8,412.80
  4. Step 4: Simplify right side
    11,970.93x = 150,642,835.73
  5. Step 5: Solve for x
    x = 150,642,835.73/11,970.93
  6. Step 6: Final answer
    x = 12,584.05

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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.