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Finding the Fourth Proportional to 28,520.56, 42,783 and 7,744.24

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Solution

The fourth proportional to 28,520.56, 42,783 and 7,744.24 is: 11,616.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,520.56 : 42,783 = 7,744.24 : x
  2. Step 2: Convert to fraction form
    28,520.56/42,783 = 7,744.24/x
  3. Step 3: Cross multiply
    28,520.56x = 42,783 × 7,744.24
  4. Step 4: Simplify right side
    28,520.56x = 331,321,819.92
  5. Step 5: Solve for x
    x = 331,321,819.92/28,520.56
  6. Step 6: Final answer
    x = 11,616.95

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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.