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Finding the Fourth Proportional to 6,701.40, 9,247.50 and 3,717.09

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Solution

The fourth proportional to 6,701.40, 9,247.50 and 3,717.09 is: 5,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.40 : 9,247.50 = 3,717.09 : x
  2. Step 2: Convert to fraction form
    6,701.40/9,247.50 = 3,717.09/x
  3. Step 3: Cross multiply
    6,701.40x = 9,247.50 × 3,717.09
  4. Step 4: Simplify right side
    6,701.40x = 34,373,789.78
  5. Step 5: Solve for x
    x = 34,373,789.78/6,701.40
  6. Step 6: Final answer
    x = 5,129.34

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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.