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Finding the Fourth Proportional to 4,247.64, 6,369 and 1,647.54

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Solution

The fourth proportional to 4,247.64, 6,369 and 1,647.54 is: 2,470.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,247.64 : 6,369 = 1,647.54 : x
  2. Step 2: Convert to fraction form
    4,247.64/6,369 = 1,647.54/x
  3. Step 3: Cross multiply
    4,247.64x = 6,369 × 1,647.54
  4. Step 4: Simplify right side
    4,247.64x = 10,493,182.26
  5. Step 5: Solve for x
    x = 10,493,182.26/4,247.64
  6. Step 6: Final answer
    x = 2,470.36

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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.