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Finding the Fourth Proportional to 6,466.44, 9,702.90 and 2,769.60

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Solution

The fourth proportional to 6,466.44, 9,702.90 and 2,769.60 is: 4,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.44 : 9,702.90 = 2,769.60 : x
  2. Step 2: Convert to fraction form
    6,466.44/9,702.90 = 2,769.60/x
  3. Step 3: Cross multiply
    6,466.44x = 9,702.90 × 2,769.60
  4. Step 4: Simplify right side
    6,466.44x = 26,873,151.84
  5. Step 5: Solve for x
    x = 26,873,151.84/6,466.44
  6. Step 6: Final answer
    x = 4,155.79

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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.