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Finding the Fourth Proportional to 6,963.63, 10,447.08 and 2,346.63

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Solution

The fourth proportional to 6,963.63, 10,447.08 and 2,346.63 is: 3,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.63 : 10,447.08 = 2,346.63 : x
  2. Step 2: Convert to fraction form
    6,963.63/10,447.08 = 2,346.63/x
  3. Step 3: Cross multiply
    6,963.63x = 10,447.08 × 2,346.63
  4. Step 4: Simplify right side
    6,963.63x = 24,515,431.34
  5. Step 5: Solve for x
    x = 24,515,431.34/6,963.63
  6. Step 6: Final answer
    x = 3,520.50

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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.