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Finding the Fourth Proportional to 14,474.68, 19,975.41 and 8,101.22

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Solution

The fourth proportional to 14,474.68, 19,975.41 and 8,101.22 is: 11,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,474.68 : 19,975.41 = 8,101.22 : x
  2. Step 2: Convert to fraction form
    14,474.68/19,975.41 = 8,101.22/x
  3. Step 3: Cross multiply
    14,474.68x = 19,975.41 × 8,101.22
  4. Step 4: Simplify right side
    14,474.68x = 161,825,091.12
  5. Step 5: Solve for x
    x = 161,825,091.12/14,474.68
  6. Step 6: Final answer
    x = 11,179.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.