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Finding the Fourth Proportional to 6,393.31, 9,591.51 and 3,064.06

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Solution

The fourth proportional to 6,393.31, 9,591.51 and 3,064.06 is: 4,596.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.31 : 9,591.51 = 3,064.06 : x
  2. Step 2: Convert to fraction form
    6,393.31/9,591.51 = 3,064.06/x
  3. Step 3: Cross multiply
    6,393.31x = 9,591.51 × 3,064.06
  4. Step 4: Simplify right side
    6,393.31x = 29,388,962.13
  5. Step 5: Solve for x
    x = 29,388,962.13/6,393.31
  6. Step 6: Final answer
    x = 4,596.83

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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.