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Finding the Fourth Proportional to 20,614.91, 30,923.64 and 5,824.96

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Solution

The fourth proportional to 20,614.91, 30,923.64 and 5,824.96 is: 8,737.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.91 : 30,923.64 = 5,824.96 : x
  2. Step 2: Convert to fraction form
    20,614.91/30,923.64 = 5,824.96/x
  3. Step 3: Cross multiply
    20,614.91x = 30,923.64 × 5,824.96
  4. Step 4: Simplify right side
    20,614.91x = 180,128,888.75
  5. Step 5: Solve for x
    x = 180,128,888.75/20,614.91
  6. Step 6: Final answer
    x = 8,737.80

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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.