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Finding the Fourth Proportional to 6,334.34, 9,502.02 and 1,951.80

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Solution

The fourth proportional to 6,334.34, 9,502.02 and 1,951.80 is: 2,927.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.34 : 9,502.02 = 1,951.80 : x
  2. Step 2: Convert to fraction form
    6,334.34/9,502.02 = 1,951.80/x
  3. Step 3: Cross multiply
    6,334.34x = 9,502.02 × 1,951.80
  4. Step 4: Simplify right side
    6,334.34x = 18,546,042.64
  5. Step 5: Solve for x
    x = 18,546,042.64/6,334.34
  6. Step 6: Final answer
    x = 2,927.86

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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.