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Finding the Fourth Proportional to 6,962, 10,445 and 3,453.08

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Solution

The fourth proportional to 6,962, 10,445 and 3,453.08 is: 5,180.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,962 : 10,445 = 3,453.08 : x
  2. Step 2: Convert to fraction form
    6,962/10,445 = 3,453.08/x
  3. Step 3: Cross multiply
    6,962x = 10,445 × 3,453.08
  4. Step 4: Simplify right side
    6,962x = 36,067,420.60
  5. Step 5: Solve for x
    x = 36,067,420.60/6,962
  6. Step 6: Final answer
    x = 5,180.61

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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.