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Finding the Fourth Proportional to 8,226.56, 12,336.56 and 4,766.24

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Solution

The fourth proportional to 8,226.56, 12,336.56 and 4,766.24 is: 7,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,226.56 : 12,336.56 = 4,766.24 : x
  2. Step 2: Convert to fraction form
    8,226.56/12,336.56 = 4,766.24/x
  3. Step 3: Cross multiply
    8,226.56x = 12,336.56 × 4,766.24
  4. Step 4: Simplify right side
    8,226.56x = 58,799,005.73
  5. Step 5: Solve for x
    x = 58,799,005.73/8,226.56
  6. Step 6: Final answer
    x = 7,147.46

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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.