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Finding the Fourth Proportional to 6,507.88, 9,754.62 and 3,214

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Solution

The fourth proportional to 6,507.88, 9,754.62 and 3,214 is: 4,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.88 : 9,754.62 = 3,214 : x
  2. Step 2: Convert to fraction form
    6,507.88/9,754.62 = 3,214/x
  3. Step 3: Cross multiply
    6,507.88x = 9,754.62 × 3,214
  4. Step 4: Simplify right side
    6,507.88x = 31,351,348.68
  5. Step 5: Solve for x
    x = 31,351,348.68/6,507.88
  6. Step 6: Final answer
    x = 4,817.44

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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.