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Finding the Fourth Proportional to 6,641.75, 9,956.48 and 2,942.01

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Solution

The fourth proportional to 6,641.75, 9,956.48 and 2,942.01 is: 4,410.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.75 : 9,956.48 = 2,942.01 : x
  2. Step 2: Convert to fraction form
    6,641.75/9,956.48 = 2,942.01/x
  3. Step 3: Cross multiply
    6,641.75x = 9,956.48 × 2,942.01
  4. Step 4: Simplify right side
    6,641.75x = 29,292,049.01
  5. Step 5: Solve for x
    x = 29,292,049.01/6,641.75
  6. Step 6: Final answer
    x = 4,410.29

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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.