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Finding the Fourth Proportional to 6,384.52, 9,568.44 and 2,681.86

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Solution

The fourth proportional to 6,384.52, 9,568.44 and 2,681.86 is: 4,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.52 : 9,568.44 = 2,681.86 : x
  2. Step 2: Convert to fraction form
    6,384.52/9,568.44 = 2,681.86/x
  3. Step 3: Cross multiply
    6,384.52x = 9,568.44 × 2,681.86
  4. Step 4: Simplify right side
    6,384.52x = 25,661,216.50
  5. Step 5: Solve for x
    x = 25,661,216.50/6,384.52
  6. Step 6: Final answer
    x = 4,019.29

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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.