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Finding the Fourth Proportional to 16,763, 25,153.20 and 6,770.20

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Solution

The fourth proportional to 16,763, 25,153.20 and 6,770.20 is: 10,158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,763 : 25,153.20 = 6,770.20 : x
  2. Step 2: Convert to fraction form
    16,763/25,153.20 = 6,770.20/x
  3. Step 3: Cross multiply
    16,763x = 25,153.20 × 6,770.20
  4. Step 4: Simplify right side
    16,763x = 170,292,194.64
  5. Step 5: Solve for x
    x = 170,292,194.64/16,763
  6. Step 6: Final answer
    x = 10,158.81

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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.