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Finding the Fourth Proportional to 6,658.26, 9,977.96 and 3,698.02

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Solution

The fourth proportional to 6,658.26, 9,977.96 and 3,698.02 is: 5,541.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.26 : 9,977.96 = 3,698.02 : x
  2. Step 2: Convert to fraction form
    6,658.26/9,977.96 = 3,698.02/x
  3. Step 3: Cross multiply
    6,658.26x = 9,977.96 × 3,698.02
  4. Step 4: Simplify right side
    6,658.26x = 36,898,695.64
  5. Step 5: Solve for x
    x = 36,898,695.64/6,658.26
  6. Step 6: Final answer
    x = 5,541.79

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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.