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Finding the Fourth Proportional to 6,517.14, 9,777.15 and 3,052.50

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Solution

The fourth proportional to 6,517.14, 9,777.15 and 3,052.50 is: 4,579.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.14 : 9,777.15 = 3,052.50 : x
  2. Step 2: Convert to fraction form
    6,517.14/9,777.15 = 3,052.50/x
  3. Step 3: Cross multiply
    6,517.14x = 9,777.15 × 3,052.50
  4. Step 4: Simplify right side
    6,517.14x = 29,844,750.38
  5. Step 5: Solve for x
    x = 29,844,750.38/6,517.14
  6. Step 6: Final answer
    x = 4,579.42

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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.