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Finding the Fourth Proportional to 6,571.91, 9,859.27 and 2,411.95

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Solution

The fourth proportional to 6,571.91, 9,859.27 and 2,411.95 is: 3,618.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.91 : 9,859.27 = 2,411.95 : x
  2. Step 2: Convert to fraction form
    6,571.91/9,859.27 = 2,411.95/x
  3. Step 3: Cross multiply
    6,571.91x = 9,859.27 × 2,411.95
  4. Step 4: Simplify right side
    6,571.91x = 23,780,086.34
  5. Step 5: Solve for x
    x = 23,780,086.34/6,571.91
  6. Step 6: Final answer
    x = 3,618.44

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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.