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Finding the Fourth Proportional to 6,453, 9,680.04 and 2,557.44

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Solution

The fourth proportional to 6,453, 9,680.04 and 2,557.44 is: 3,836.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453 : 9,680.04 = 2,557.44 : x
  2. Step 2: Convert to fraction form
    6,453/9,680.04 = 2,557.44/x
  3. Step 3: Cross multiply
    6,453x = 9,680.04 × 2,557.44
  4. Step 4: Simplify right side
    6,453x = 24,756,121.50
  5. Step 5: Solve for x
    x = 24,756,121.50/6,453
  6. Step 6: Final answer
    x = 3,836.37

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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.