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Finding the Fourth Proportional to 6,847.47, 10,266.57 and 2,684.88

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Solution

The fourth proportional to 6,847.47, 10,266.57 and 2,684.88 is: 4,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.47 : 10,266.57 = 2,684.88 : x
  2. Step 2: Convert to fraction form
    6,847.47/10,266.57 = 2,684.88/x
  3. Step 3: Cross multiply
    6,847.47x = 10,266.57 × 2,684.88
  4. Step 4: Simplify right side
    6,847.47x = 27,564,508.46
  5. Step 5: Solve for x
    x = 27,564,508.46/6,847.47
  6. Step 6: Final answer
    x = 4,025.50

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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.