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Finding the Fourth Proportional to 9,867, 14,800.50 and 2,571

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Solution

The fourth proportional to 9,867, 14,800.50 and 2,571 is: 3,856.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867 : 14,800.50 = 2,571 : x
  2. Step 2: Convert to fraction form
    9,867/14,800.50 = 2,571/x
  3. Step 3: Cross multiply
    9,867x = 14,800.50 × 2,571
  4. Step 4: Simplify right side
    9,867x = 38,052,085.50
  5. Step 5: Solve for x
    x = 38,052,085.50/9,867
  6. Step 6: Final answer
    x = 3,856.50

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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.