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Finding the Fourth Proportional to 20,682.56, 28,542 and 11,251.12

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Solution

The fourth proportional to 20,682.56, 28,542 and 11,251.12 is: 15,526.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.56 : 28,542 = 11,251.12 : x
  2. Step 2: Convert to fraction form
    20,682.56/28,542 = 11,251.12/x
  3. Step 3: Cross multiply
    20,682.56x = 28,542 × 11,251.12
  4. Step 4: Simplify right side
    20,682.56x = 321,129,467.04
  5. Step 5: Solve for x
    x = 321,129,467.04/20,682.56
  6. Step 6: Final answer
    x = 15,526.58

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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.