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Finding the Fourth Proportional to 9,967.71, 14,951.49 and 2,571.54

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Solution

The fourth proportional to 9,967.71, 14,951.49 and 2,571.54 is: 3,857.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.71 : 14,951.49 = 2,571.54 : x
  2. Step 2: Convert to fraction form
    9,967.71/14,951.49 = 2,571.54/x
  3. Step 3: Cross multiply
    9,967.71x = 14,951.49 × 2,571.54
  4. Step 4: Simplify right side
    9,967.71x = 38,448,354.59
  5. Step 5: Solve for x
    x = 38,448,354.59/9,967.71
  6. Step 6: Final answer
    x = 3,857.29

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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.