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Finding the Fourth Proportional to 6,565.82, 9,835.06 and 3,268.92

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Solution

The fourth proportional to 6,565.82, 9,835.06 and 3,268.92 is: 4,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.82 : 9,835.06 = 3,268.92 : x
  2. Step 2: Convert to fraction form
    6,565.82/9,835.06 = 3,268.92/x
  3. Step 3: Cross multiply
    6,565.82x = 9,835.06 × 3,268.92
  4. Step 4: Simplify right side
    6,565.82x = 32,150,024.34
  5. Step 5: Solve for x
    x = 32,150,024.34/6,565.82
  6. Step 6: Final answer
    x = 4,896.57

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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.