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Finding the Fourth Proportional to 13,596.81, 20,406.15 and 7,024.88

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Solution

The fourth proportional to 13,596.81, 20,406.15 and 7,024.88 is: 10,542.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,596.81 : 20,406.15 = 7,024.88 : x
  2. Step 2: Convert to fraction form
    13,596.81/20,406.15 = 7,024.88/x
  3. Step 3: Cross multiply
    13,596.81x = 20,406.15 × 7,024.88
  4. Step 4: Simplify right side
    13,596.81x = 143,350,755.01
  5. Step 5: Solve for x
    x = 143,350,755.01/13,596.81
  6. Step 6: Final answer
    x = 10,542.97

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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.