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Finding the Fourth Proportional to 6,495.73, 9,738.36 and 5,976.78

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Solution

The fourth proportional to 6,495.73, 9,738.36 and 5,976.78 is: 8,960.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.73 : 9,738.36 = 5,976.78 : x
  2. Step 2: Convert to fraction form
    6,495.73/9,738.36 = 5,976.78/x
  3. Step 3: Cross multiply
    6,495.73x = 9,738.36 × 5,976.78
  4. Step 4: Simplify right side
    6,495.73x = 58,204,035.28
  5. Step 5: Solve for x
    x = 58,204,035.28/6,495.73
  6. Step 6: Final answer
    x = 8,960.35

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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.