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Finding the Fourth Proportional to 10,684.68, 14,747.46 and 6,491.88

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Solution

The fourth proportional to 10,684.68, 14,747.46 and 6,491.88 is: 8,960.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.68 : 14,747.46 = 6,491.88 : x
  2. Step 2: Convert to fraction form
    10,684.68/14,747.46 = 6,491.88/x
  3. Step 3: Cross multiply
    10,684.68x = 14,747.46 × 6,491.88
  4. Step 4: Simplify right side
    10,684.68x = 95,738,740.62
  5. Step 5: Solve for x
    x = 95,738,740.62/10,684.68
  6. Step 6: Final answer
    x = 8,960.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.