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Finding the Fourth Proportional to 10,571.50, 15,856.64 and 3,175.80

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Solution

The fourth proportional to 10,571.50, 15,856.64 and 3,175.80 is: 4,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.50 : 15,856.64 = 3,175.80 : x
  2. Step 2: Convert to fraction form
    10,571.50/15,856.64 = 3,175.80/x
  3. Step 3: Cross multiply
    10,571.50x = 15,856.64 × 3,175.80
  4. Step 4: Simplify right side
    10,571.50x = 50,357,517.31
  5. Step 5: Solve for x
    x = 50,357,517.31/10,571.50
  6. Step 6: Final answer
    x = 4,763.52

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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.