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Finding the Fourth Proportional to 6,337.96, 9,505.02 and 2,233

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Solution

The fourth proportional to 6,337.96, 9,505.02 and 2,233 is: 3,348.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.96 : 9,505.02 = 2,233 : x
  2. Step 2: Convert to fraction form
    6,337.96/9,505.02 = 2,233/x
  3. Step 3: Cross multiply
    6,337.96x = 9,505.02 × 2,233
  4. Step 4: Simplify right side
    6,337.96x = 21,224,709.66
  5. Step 5: Solve for x
    x = 21,224,709.66/6,337.96
  6. Step 6: Final answer
    x = 3,348.82

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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.