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Finding the Fourth Proportional to 13,773.80, 20,638.02 and 7,190.12

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Solution

The fourth proportional to 13,773.80, 20,638.02 and 7,190.12 is: 10,773.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.80 : 20,638.02 = 7,190.12 : x
  2. Step 2: Convert to fraction form
    13,773.80/20,638.02 = 7,190.12/x
  3. Step 3: Cross multiply
    13,773.80x = 20,638.02 × 7,190.12
  4. Step 4: Simplify right side
    13,773.80x = 148,389,840.36
  5. Step 5: Solve for x
    x = 148,389,840.36/13,773.80
  6. Step 6: Final answer
    x = 10,773.34

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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.