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Finding the Fourth Proportional to 6,939.71, 10,381.91 and 6,026.03

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Solution

The fourth proportional to 6,939.71, 10,381.91 and 6,026.03 is: 9,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,939.71 : 10,381.91 = 6,026.03 : x
  2. Step 2: Convert to fraction form
    6,939.71/10,381.91 = 6,026.03/x
  3. Step 3: Cross multiply
    6,939.71x = 10,381.91 × 6,026.03
  4. Step 4: Simplify right side
    6,939.71x = 62,561,696.94
  5. Step 5: Solve for x
    x = 62,561,696.94/6,939.71
  6. Step 6: Final answer
    x = 9,015.03

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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.