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Finding the Fourth Proportional to 6,464.28, 9,696.54 and 1,847.28

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Solution

The fourth proportional to 6,464.28, 9,696.54 and 1,847.28 is: 2,770.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.28 : 9,696.54 = 1,847.28 : x
  2. Step 2: Convert to fraction form
    6,464.28/9,696.54 = 1,847.28/x
  3. Step 3: Cross multiply
    6,464.28x = 9,696.54 × 1,847.28
  4. Step 4: Simplify right side
    6,464.28x = 17,912,224.41
  5. Step 5: Solve for x
    x = 17,912,224.41/6,464.28
  6. Step 6: Final answer
    x = 2,770.95

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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.