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Finding the Fourth Proportional to 6,671.56, 9,201.72 and 4,018

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Solution

The fourth proportional to 6,671.56, 9,201.72 and 4,018 is: 5,541.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.56 : 9,201.72 = 4,018 : x
  2. Step 2: Convert to fraction form
    6,671.56/9,201.72 = 4,018/x
  3. Step 3: Cross multiply
    6,671.56x = 9,201.72 × 4,018
  4. Step 4: Simplify right side
    6,671.56x = 36,972,510.96
  5. Step 5: Solve for x
    x = 36,972,510.96/6,671.56
  6. Step 6: Final answer
    x = 5,541.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.