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Finding the Fourth Proportional to 6,963.30, 10,446.12 and 3,453.48

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Solution

The fourth proportional to 6,963.30, 10,446.12 and 3,453.48 is: 5,180.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.30 : 10,446.12 = 3,453.48 : x
  2. Step 2: Convert to fraction form
    6,963.30/10,446.12 = 3,453.48/x
  3. Step 3: Cross multiply
    6,963.30x = 10,446.12 × 3,453.48
  4. Step 4: Simplify right side
    6,963.30x = 36,075,466.50
  5. Step 5: Solve for x
    x = 36,075,466.50/6,963.30
  6. Step 6: Final answer
    x = 5,180.80

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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.