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Finding the Fourth Proportional to 6,353.24, 8,769.87 and 4,002.21

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Solution

The fourth proportional to 6,353.24, 8,769.87 and 4,002.21 is: 5,524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.24 : 8,769.87 = 4,002.21 : x
  2. Step 2: Convert to fraction form
    6,353.24/8,769.87 = 4,002.21/x
  3. Step 3: Cross multiply
    6,353.24x = 8,769.87 × 4,002.21
  4. Step 4: Simplify right side
    6,353.24x = 35,098,861.41
  5. Step 5: Solve for x
    x = 35,098,861.41/6,353.24
  6. Step 6: Final answer
    x = 5,524.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.