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Finding the Fourth Proportional to 9,193.89, 13,792.12 and 3,647.80

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Solution

The fourth proportional to 9,193.89, 13,792.12 and 3,647.80 is: 5,472.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.89 : 13,792.12 = 3,647.80 : x
  2. Step 2: Convert to fraction form
    9,193.89/13,792.12 = 3,647.80/x
  3. Step 3: Cross multiply
    9,193.89x = 13,792.12 × 3,647.80
  4. Step 4: Simplify right side
    9,193.89x = 50,310,923.98
  5. Step 5: Solve for x
    x = 50,310,923.98/9,193.89
  6. Step 6: Final answer
    x = 5,472.21

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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.