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Finding the Fourth Proportional to 8,523.29, 12,765.08 and 8,227.71

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Solution

The fourth proportional to 8,523.29, 12,765.08 and 8,227.71 is: 12,322.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,523.29 : 12,765.08 = 8,227.71 : x
  2. Step 2: Convert to fraction form
    8,523.29/12,765.08 = 8,227.71/x
  3. Step 3: Cross multiply
    8,523.29x = 12,765.08 × 8,227.71
  4. Step 4: Simplify right side
    8,523.29x = 105,027,396.94
  5. Step 5: Solve for x
    x = 105,027,396.94/8,523.29
  6. Step 6: Final answer
    x = 12,322.40

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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.