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Finding the Fourth Proportional to 13,463.96, 20,199.16 and 4,229.96

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Solution

The fourth proportional to 13,463.96, 20,199.16 and 4,229.96 is: 6,345.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,463.96 : 20,199.16 = 4,229.96 : x
  2. Step 2: Convert to fraction form
    13,463.96/20,199.16 = 4,229.96/x
  3. Step 3: Cross multiply
    13,463.96x = 20,199.16 × 4,229.96
  4. Step 4: Simplify right side
    13,463.96x = 85,441,638.83
  5. Step 5: Solve for x
    x = 85,441,638.83/13,463.96
  6. Step 6: Final answer
    x = 6,345.95

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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.