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Finding the Fourth Proportional to 14,507.96, 21,769.99 and 7,844.29

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Solution

The fourth proportional to 14,507.96, 21,769.99 and 7,844.29 is: 11,770.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.96 : 21,769.99 = 7,844.29 : x
  2. Step 2: Convert to fraction form
    14,507.96/21,769.99 = 7,844.29/x
  3. Step 3: Cross multiply
    14,507.96x = 21,769.99 × 7,844.29
  4. Step 4: Simplify right side
    14,507.96x = 170,770,185.34
  5. Step 5: Solve for x
    x = 170,770,185.34/14,507.96
  6. Step 6: Final answer
    x = 11,770.79

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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.