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Finding the Fourth Proportional to 13,991.67, 20,978.19 and 9,550.71

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Solution

The fourth proportional to 13,991.67, 20,978.19 and 9,550.71 is: 14,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.67 : 20,978.19 = 9,550.71 : x
  2. Step 2: Convert to fraction form
    13,991.67/20,978.19 = 9,550.71/x
  3. Step 3: Cross multiply
    13,991.67x = 20,978.19 × 9,550.71
  4. Step 4: Simplify right side
    13,991.67x = 200,356,609.01
  5. Step 5: Solve for x
    x = 200,356,609.01/13,991.67
  6. Step 6: Final answer
    x = 14,319.71

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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.