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Finding the Fourth Proportional to 6,730.71, 10,098.99 and 2,571.99

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Solution

The fourth proportional to 6,730.71, 10,098.99 and 2,571.99 is: 3,859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.71 : 10,098.99 = 2,571.99 : x
  2. Step 2: Convert to fraction form
    6,730.71/10,098.99 = 2,571.99/x
  3. Step 3: Cross multiply
    6,730.71x = 10,098.99 × 2,571.99
  4. Step 4: Simplify right side
    6,730.71x = 25,974,501.29
  5. Step 5: Solve for x
    x = 25,974,501.29/6,730.71
  6. Step 6: Final answer
    x = 3,859.10

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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.