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Finding the Fourth Proportional to 6,702, 10,053.02 and 2,085

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Solution

The fourth proportional to 6,702, 10,053.02 and 2,085 is: 3,127.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702 : 10,053.02 = 2,085 : x
  2. Step 2: Convert to fraction form
    6,702/10,053.02 = 2,085/x
  3. Step 3: Cross multiply
    6,702x = 10,053.02 × 2,085
  4. Step 4: Simplify right side
    6,702x = 20,960,546.70
  5. Step 5: Solve for x
    x = 20,960,546.70/6,702
  6. Step 6: Final answer
    x = 3,127.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.