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Finding the Fourth Proportional to 15,744.82, 21,727.44 and 9,034.42

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Solution

The fourth proportional to 15,744.82, 21,727.44 and 9,034.42 is: 12,467.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,744.82 : 21,727.44 = 9,034.42 : x
  2. Step 2: Convert to fraction form
    15,744.82/21,727.44 = 9,034.42/x
  3. Step 3: Cross multiply
    15,744.82x = 21,727.44 × 9,034.42
  4. Step 4: Simplify right side
    15,744.82x = 196,294,818.48
  5. Step 5: Solve for x
    x = 196,294,818.48/15,744.82
  6. Step 6: Final answer
    x = 12,467.26

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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.