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Finding the Fourth Proportional to 13,134.94, 19,696.94 and 6,553.28

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Solution

The fourth proportional to 13,134.94, 19,696.94 and 6,553.28 is: 9,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.94 : 19,696.94 = 6,553.28 : x
  2. Step 2: Convert to fraction form
    13,134.94/19,696.94 = 6,553.28/x
  3. Step 3: Cross multiply
    13,134.94x = 19,696.94 × 6,553.28
  4. Step 4: Simplify right side
    13,134.94x = 129,079,562.96
  5. Step 5: Solve for x
    x = 129,079,562.96/13,134.94
  6. Step 6: Final answer
    x = 9,827.19

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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.