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Finding the Fourth Proportional to 6,390.18, 9,584.46 and 2,497.32

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Solution

The fourth proportional to 6,390.18, 9,584.46 and 2,497.32 is: 3,745.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.18 : 9,584.46 = 2,497.32 : x
  2. Step 2: Convert to fraction form
    6,390.18/9,584.46 = 2,497.32/x
  3. Step 3: Cross multiply
    6,390.18x = 9,584.46 × 2,497.32
  4. Step 4: Simplify right side
    6,390.18x = 23,935,463.65
  5. Step 5: Solve for x
    x = 23,935,463.65/6,390.18
  6. Step 6: Final answer
    x = 3,745.66

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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.