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Finding the Fourth Proportional to 6,660.16, 9,985.17 and 4,027.09

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Solution

The fourth proportional to 6,660.16, 9,985.17 and 4,027.09 is: 6,037.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,660.16 : 9,985.17 = 4,027.09 : x
  2. Step 2: Convert to fraction form
    6,660.16/9,985.17 = 4,027.09/x
  3. Step 3: Cross multiply
    6,660.16x = 9,985.17 × 4,027.09
  4. Step 4: Simplify right side
    6,660.16x = 40,211,178.26
  5. Step 5: Solve for x
    x = 40,211,178.26/6,660.16
  6. Step 6: Final answer
    x = 6,037.57

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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.