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Finding the Fourth Proportional to 6,348.72, 9,523.44 and 2,188.92

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Solution

The fourth proportional to 6,348.72, 9,523.44 and 2,188.92 is: 3,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.72 : 9,523.44 = 2,188.92 : x
  2. Step 2: Convert to fraction form
    6,348.72/9,523.44 = 2,188.92/x
  3. Step 3: Cross multiply
    6,348.72x = 9,523.44 × 2,188.92
  4. Step 4: Simplify right side
    6,348.72x = 20,846,048.28
  5. Step 5: Solve for x
    x = 20,846,048.28/6,348.72
  6. Step 6: Final answer
    x = 3,283.50

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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.