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Finding the Fourth Proportional to 6,302.87, 9,457 and 2,607.78

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Solution

The fourth proportional to 6,302.87, 9,457 and 2,607.78 is: 3,912.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.87 : 9,457 = 2,607.78 : x
  2. Step 2: Convert to fraction form
    6,302.87/9,457 = 2,607.78/x
  3. Step 3: Cross multiply
    6,302.87x = 9,457 × 2,607.78
  4. Step 4: Simplify right side
    6,302.87x = 24,661,775.46
  5. Step 5: Solve for x
    x = 24,661,775.46/6,302.87
  6. Step 6: Final answer
    x = 3,912.79

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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.