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Finding the Fourth Proportional to 13,002, 19,515.96 and 6,846

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Solution

The fourth proportional to 13,002, 19,515.96 and 6,846 is: 10,275.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,002 : 19,515.96 = 6,846 : x
  2. Step 2: Convert to fraction form
    13,002/19,515.96 = 6,846/x
  3. Step 3: Cross multiply
    13,002x = 19,515.96 × 6,846
  4. Step 4: Simplify right side
    13,002x = 133,606,262.16
  5. Step 5: Solve for x
    x = 133,606,262.16/13,002
  6. Step 6: Final answer
    x = 10,275.82

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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.