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Finding the Fourth Proportional to 6,450.96, 9,663.60 and 5,057.76

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Solution

The fourth proportional to 6,450.96, 9,663.60 and 5,057.76 is: 7,576.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.96 : 9,663.60 = 5,057.76 : x
  2. Step 2: Convert to fraction form
    6,450.96/9,663.60 = 5,057.76/x
  3. Step 3: Cross multiply
    6,450.96x = 9,663.60 × 5,057.76
  4. Step 4: Simplify right side
    6,450.96x = 48,876,169.54
  5. Step 5: Solve for x
    x = 48,876,169.54/6,450.96
  6. Step 6: Final answer
    x = 7,576.57

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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.