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Finding the Fourth Proportional to 6,583.32, 9,861.14 and 3,076.29

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Solution

The fourth proportional to 6,583.32, 9,861.14 and 3,076.29 is: 4,607.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.32 : 9,861.14 = 3,076.29 : x
  2. Step 2: Convert to fraction form
    6,583.32/9,861.14 = 3,076.29/x
  3. Step 3: Cross multiply
    6,583.32x = 9,861.14 × 3,076.29
  4. Step 4: Simplify right side
    6,583.32x = 30,335,734.06
  5. Step 5: Solve for x
    x = 30,335,734.06/6,583.32
  6. Step 6: Final answer
    x = 4,607.97

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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.