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Finding the Fourth Proportional to 6,504.96, 9,757.68 and 1,824.96

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Solution

The fourth proportional to 6,504.96, 9,757.68 and 1,824.96 is: 2,737.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.96 : 9,757.68 = 1,824.96 : x
  2. Step 2: Convert to fraction form
    6,504.96/9,757.68 = 1,824.96/x
  3. Step 3: Cross multiply
    6,504.96x = 9,757.68 × 1,824.96
  4. Step 4: Simplify right side
    6,504.96x = 17,807,375.69
  5. Step 5: Solve for x
    x = 17,807,375.69/6,504.96
  6. Step 6: Final answer
    x = 2,737.51

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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.