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Finding the Fourth Proportional to 6,536.92, 9,798.63 and 2,586.58

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Solution

The fourth proportional to 6,536.92, 9,798.63 and 2,586.58 is: 3,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.92 : 9,798.63 = 2,586.58 : x
  2. Step 2: Convert to fraction form
    6,536.92/9,798.63 = 2,586.58/x
  3. Step 3: Cross multiply
    6,536.92x = 9,798.63 × 2,586.58
  4. Step 4: Simplify right side
    6,536.92x = 25,344,940.39
  5. Step 5: Solve for x
    x = 25,344,940.39/6,536.92
  6. Step 6: Final answer
    x = 3,877.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.