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Finding the Fourth Proportional to 6,736.59, 10,098.48 and 2,352.87

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Solution

The fourth proportional to 6,736.59, 10,098.48 and 2,352.87 is: 3,527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.59 : 10,098.48 = 2,352.87 : x
  2. Step 2: Convert to fraction form
    6,736.59/10,098.48 = 2,352.87/x
  3. Step 3: Cross multiply
    6,736.59x = 10,098.48 × 2,352.87
  4. Step 4: Simplify right side
    6,736.59x = 23,760,410.64
  5. Step 5: Solve for x
    x = 23,760,410.64/6,736.59
  6. Step 6: Final answer
    x = 3,527.07

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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.