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Finding the Fourth Proportional to 6,593.64, 9,881.85 and 5,027.91

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Solution

The fourth proportional to 6,593.64, 9,881.85 and 5,027.91 is: 7,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.64 : 9,881.85 = 5,027.91 : x
  2. Step 2: Convert to fraction form
    6,593.64/9,881.85 = 5,027.91/x
  3. Step 3: Cross multiply
    6,593.64x = 9,881.85 × 5,027.91
  4. Step 4: Simplify right side
    6,593.64x = 49,685,052.43
  5. Step 5: Solve for x
    x = 49,685,052.43/6,593.64
  6. Step 6: Final answer
    x = 7,535.30

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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.