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Finding the Fourth Proportional to 6,474, 8,932.10 and 3,640.93

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Solution

The fourth proportional to 6,474, 8,932.10 and 3,640.93 is: 5,023.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474 : 8,932.10 = 3,640.93 : x
  2. Step 2: Convert to fraction form
    6,474/8,932.10 = 3,640.93/x
  3. Step 3: Cross multiply
    6,474x = 8,932.10 × 3,640.93
  4. Step 4: Simplify right side
    6,474x = 32,521,150.85
  5. Step 5: Solve for x
    x = 32,521,150.85/6,474
  6. Step 6: Final answer
    x = 5,023.35

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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.