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Finding the Fourth Proportional to 6,463.94, 9,696.72 and 6,363.86

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Solution

The fourth proportional to 6,463.94, 9,696.72 and 6,363.86 is: 9,546.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.94 : 9,696.72 = 6,363.86 : x
  2. Step 2: Convert to fraction form
    6,463.94/9,696.72 = 6,363.86/x
  3. Step 3: Cross multiply
    6,463.94x = 9,696.72 × 6,363.86
  4. Step 4: Simplify right side
    6,463.94x = 61,708,568.54
  5. Step 5: Solve for x
    x = 61,708,568.54/6,463.94
  6. Step 6: Final answer
    x = 9,546.59

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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.