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Finding the Fourth Proportional to 6,755.81, 10,133.67 and 1,825.95

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Solution

The fourth proportional to 6,755.81, 10,133.67 and 1,825.95 is: 2,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,755.81 : 10,133.67 = 1,825.95 : x
  2. Step 2: Convert to fraction form
    6,755.81/10,133.67 = 1,825.95/x
  3. Step 3: Cross multiply
    6,755.81x = 10,133.67 × 1,825.95
  4. Step 4: Simplify right side
    6,755.81x = 18,503,574.74
  5. Step 5: Solve for x
    x = 18,503,574.74/6,755.81
  6. Step 6: Final answer
    x = 2,738.91

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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.