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Finding the Fourth Proportional to 8,313.92, 11,463.86 and 6,796.79

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Solution

The fourth proportional to 8,313.92, 11,463.86 and 6,796.79 is: 9,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,313.92 : 11,463.86 = 6,796.79 : x
  2. Step 2: Convert to fraction form
    8,313.92/11,463.86 = 6,796.79/x
  3. Step 3: Cross multiply
    8,313.92x = 11,463.86 × 6,796.79
  4. Step 4: Simplify right side
    8,313.92x = 77,917,411.85
  5. Step 5: Solve for x
    x = 77,917,411.85/8,313.92
  6. Step 6: Final answer
    x = 9,371.93

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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.