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Finding the Fourth Proportional to 6,629.64, 9,935.16 and 5,236.86

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Solution

The fourth proportional to 6,629.64, 9,935.16 and 5,236.86 is: 7,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.64 : 9,935.16 = 5,236.86 : x
  2. Step 2: Convert to fraction form
    6,629.64/9,935.16 = 5,236.86/x
  3. Step 3: Cross multiply
    6,629.64x = 9,935.16 × 5,236.86
  4. Step 4: Simplify right side
    6,629.64x = 52,029,042.00
  5. Step 5: Solve for x
    x = 52,029,042.00/6,629.64
  6. Step 6: Final answer
    x = 7,847.94

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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.