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Finding the Fourth Proportional to 6,432.36, 9,650.74 and 2,967

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Solution

The fourth proportional to 6,432.36, 9,650.74 and 2,967 is: 4,451.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,432.36 : 9,650.74 = 2,967 : x
  2. Step 2: Convert to fraction form
    6,432.36/9,650.74 = 2,967/x
  3. Step 3: Cross multiply
    6,432.36x = 9,650.74 × 2,967
  4. Step 4: Simplify right side
    6,432.36x = 28,633,745.58
  5. Step 5: Solve for x
    x = 28,633,745.58/6,432.36
  6. Step 6: Final answer
    x = 4,451.51

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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.