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Finding the Fourth Proportional to 7,960.72, 11,953.74 and 6,571

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Solution

The fourth proportional to 7,960.72, 11,953.74 and 6,571 is: 9,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.72 : 11,953.74 = 6,571 : x
  2. Step 2: Convert to fraction form
    7,960.72/11,953.74 = 6,571/x
  3. Step 3: Cross multiply
    7,960.72x = 11,953.74 × 6,571
  4. Step 4: Simplify right side
    7,960.72x = 78,548,025.54
  5. Step 5: Solve for x
    x = 78,548,025.54/7,960.72
  6. Step 6: Final answer
    x = 9,866.95

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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.