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Finding the Fourth Proportional to 6,728.99, 9,285.85 and 3,896.49

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Solution

The fourth proportional to 6,728.99, 9,285.85 and 3,896.49 is: 5,377.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.99 : 9,285.85 = 3,896.49 : x
  2. Step 2: Convert to fraction form
    6,728.99/9,285.85 = 3,896.49/x
  3. Step 3: Cross multiply
    6,728.99x = 9,285.85 × 3,896.49
  4. Step 4: Simplify right side
    6,728.99x = 36,182,221.67
  5. Step 5: Solve for x
    x = 36,182,221.67/6,728.99
  6. Step 6: Final answer
    x = 5,377.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.