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Finding the Fourth Proportional to 6,389.40, 9,584.10 and 2,007.30

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Solution

The fourth proportional to 6,389.40, 9,584.10 and 2,007.30 is: 3,010.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.40 : 9,584.10 = 2,007.30 : x
  2. Step 2: Convert to fraction form
    6,389.40/9,584.10 = 2,007.30/x
  3. Step 3: Cross multiply
    6,389.40x = 9,584.10 × 2,007.30
  4. Step 4: Simplify right side
    6,389.40x = 19,238,163.93
  5. Step 5: Solve for x
    x = 19,238,163.93/6,389.40
  6. Step 6: Final answer
    x = 3,010.95

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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.