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Finding the Fourth Proportional to 6,508.56, 9,767.68 and 3,736.56

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Solution

The fourth proportional to 6,508.56, 9,767.68 and 3,736.56 is: 5,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.56 : 9,767.68 = 3,736.56 : x
  2. Step 2: Convert to fraction form
    6,508.56/9,767.68 = 3,736.56/x
  3. Step 3: Cross multiply
    6,508.56x = 9,767.68 × 3,736.56
  4. Step 4: Simplify right side
    6,508.56x = 36,497,522.38
  5. Step 5: Solve for x
    x = 36,497,522.38/6,508.56
  6. Step 6: Final answer
    x = 5,607.62

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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.