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Finding the Fourth Proportional to 5,763.92, 7,945.83 and 4,963.78

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Solution

The fourth proportional to 5,763.92, 7,945.83 and 4,963.78 is: 6,842.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,763.92 : 7,945.83 = 4,963.78 : x
  2. Step 2: Convert to fraction form
    5,763.92/7,945.83 = 4,963.78/x
  3. Step 3: Cross multiply
    5,763.92x = 7,945.83 × 4,963.78
  4. Step 4: Simplify right side
    5,763.92x = 39,441,352.04
  5. Step 5: Solve for x
    x = 39,441,352.04/5,763.92
  6. Step 6: Final answer
    x = 6,842.81

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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.