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Finding the Fourth Proportional to 6,311.58, 9,466.22 and 2,151.26

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Solution

The fourth proportional to 6,311.58, 9,466.22 and 2,151.26 is: 3,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.58 : 9,466.22 = 2,151.26 : x
  2. Step 2: Convert to fraction form
    6,311.58/9,466.22 = 2,151.26/x
  3. Step 3: Cross multiply
    6,311.58x = 9,466.22 × 2,151.26
  4. Step 4: Simplify right side
    6,311.58x = 20,364,300.44
  5. Step 5: Solve for x
    x = 20,364,300.44/6,311.58
  6. Step 6: Final answer
    x = 3,226.50

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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.