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Finding the Fourth Proportional to 13,992.40, 20,991.62 and 6,976.20

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Solution

The fourth proportional to 13,992.40, 20,991.62 and 6,976.20 is: 10,465.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,992.40 : 20,991.62 = 6,976.20 : x
  2. Step 2: Convert to fraction form
    13,992.40/20,991.62 = 6,976.20/x
  3. Step 3: Cross multiply
    13,992.40x = 20,991.62 × 6,976.20
  4. Step 4: Simplify right side
    13,992.40x = 146,441,739.44
  5. Step 5: Solve for x
    x = 146,441,739.44/13,992.40
  6. Step 6: Final answer
    x = 10,465.81

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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.