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Finding the Fourth Proportional to 10,770.49, 16,126.92 and 6,324.49

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Solution

The fourth proportional to 10,770.49, 16,126.92 and 6,324.49 is: 9,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.49 : 16,126.92 = 6,324.49 : x
  2. Step 2: Convert to fraction form
    10,770.49/16,126.92 = 6,324.49/x
  3. Step 3: Cross multiply
    10,770.49x = 16,126.92 × 6,324.49
  4. Step 4: Simplify right side
    10,770.49x = 101,994,544.27
  5. Step 5: Solve for x
    x = 101,994,544.27/10,770.49
  6. Step 6: Final answer
    x = 9,469.81

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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.