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Finding the Fourth Proportional to 13,991.70, 20,974.36 and 6,965.06

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Solution

The fourth proportional to 13,991.70, 20,974.36 and 6,965.06 is: 10,441.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.70 : 20,974.36 = 6,965.06 : x
  2. Step 2: Convert to fraction form
    13,991.70/20,974.36 = 6,965.06/x
  3. Step 3: Cross multiply
    13,991.70x = 20,974.36 × 6,965.06
  4. Step 4: Simplify right side
    13,991.70x = 146,087,714.22
  5. Step 5: Solve for x
    x = 146,087,714.22/13,991.70
  6. Step 6: Final answer
    x = 10,441.03

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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.