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Finding the Fourth Proportional to 6,535.76, 9,790.32 and 3,896.96

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Solution

The fourth proportional to 6,535.76, 9,790.32 and 3,896.96 is: 5,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.76 : 9,790.32 = 3,896.96 : x
  2. Step 2: Convert to fraction form
    6,535.76/9,790.32 = 3,896.96/x
  3. Step 3: Cross multiply
    6,535.76x = 9,790.32 × 3,896.96
  4. Step 4: Simplify right side
    6,535.76x = 38,152,485.43
  5. Step 5: Solve for x
    x = 38,152,485.43/6,535.76
  6. Step 6: Final answer
    x = 5,837.50

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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.