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Finding the Fourth Proportional to 6,472.92, 9,709.38 and 2,091.03

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Solution

The fourth proportional to 6,472.92, 9,709.38 and 2,091.03 is: 3,136.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.92 : 9,709.38 = 2,091.03 : x
  2. Step 2: Convert to fraction form
    6,472.92/9,709.38 = 2,091.03/x
  3. Step 3: Cross multiply
    6,472.92x = 9,709.38 × 2,091.03
  4. Step 4: Simplify right side
    6,472.92x = 20,302,604.86
  5. Step 5: Solve for x
    x = 20,302,604.86/6,472.92
  6. Step 6: Final answer
    x = 3,136.55

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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.