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Finding the Fourth Proportional to 8,329.56, 12,493.18 and 2,782.78

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Solution

The fourth proportional to 8,329.56, 12,493.18 and 2,782.78 is: 4,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,329.56 : 12,493.18 = 2,782.78 : x
  2. Step 2: Convert to fraction form
    8,329.56/12,493.18 = 2,782.78/x
  3. Step 3: Cross multiply
    8,329.56x = 12,493.18 × 2,782.78
  4. Step 4: Simplify right side
    8,329.56x = 34,765,771.44
  5. Step 5: Solve for x
    x = 34,765,771.44/8,329.56
  6. Step 6: Final answer
    x = 4,173.78

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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.