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Finding the Fourth Proportional to 6,356.88, 8,769.96 and 3,838.32

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Solution

The fourth proportional to 6,356.88, 8,769.96 and 3,838.32 is: 5,295.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.88 : 8,769.96 = 3,838.32 : x
  2. Step 2: Convert to fraction form
    6,356.88/8,769.96 = 3,838.32/x
  3. Step 3: Cross multiply
    6,356.88x = 8,769.96 × 3,838.32
  4. Step 4: Simplify right side
    6,356.88x = 33,661,912.87
  5. Step 5: Solve for x
    x = 33,661,912.87/6,356.88
  6. Step 6: Final answer
    x = 5,295.35

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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.