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Finding the Fourth Proportional to 13,793.72, 20,692.01 and 5,897.07

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Solution

The fourth proportional to 13,793.72, 20,692.01 and 5,897.07 is: 8,846.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.72 : 20,692.01 = 5,897.07 : x
  2. Step 2: Convert to fraction form
    13,793.72/20,692.01 = 5,897.07/x
  3. Step 3: Cross multiply
    13,793.72x = 20,692.01 × 5,897.07
  4. Step 4: Simplify right side
    13,793.72x = 122,022,231.41
  5. Step 5: Solve for x
    x = 122,022,231.41/13,793.72
  6. Step 6: Final answer
    x = 8,846.22

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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.