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Finding the Fourth Proportional to 5,635.46, 8,471.39 and 5,229.62

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Solution

The fourth proportional to 5,635.46, 8,471.39 and 5,229.62 is: 7,861.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.46 : 8,471.39 = 5,229.62 : x
  2. Step 2: Convert to fraction form
    5,635.46/8,471.39 = 5,229.62/x
  3. Step 3: Cross multiply
    5,635.46x = 8,471.39 × 5,229.62
  4. Step 4: Simplify right side
    5,635.46x = 44,302,150.57
  5. Step 5: Solve for x
    x = 44,302,150.57/5,635.46
  6. Step 6: Final answer
    x = 7,861.32

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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.