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Finding the Fourth Proportional to 6,825.52, 10,243.78 and 3,539.55

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Solution

The fourth proportional to 6,825.52, 10,243.78 and 3,539.55 is: 5,312.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.52 : 10,243.78 = 3,539.55 : x
  2. Step 2: Convert to fraction form
    6,825.52/10,243.78 = 3,539.55/x
  3. Step 3: Cross multiply
    6,825.52x = 10,243.78 × 3,539.55
  4. Step 4: Simplify right side
    6,825.52x = 36,258,371.50
  5. Step 5: Solve for x
    x = 36,258,371.50/6,825.52
  6. Step 6: Final answer
    x = 5,312.18

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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.