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Finding the Fourth Proportional to 6,752.81, 10,129.19 and 1,822.95

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Solution

The fourth proportional to 6,752.81, 10,129.19 and 1,822.95 is: 2,734.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,752.81 : 10,129.19 = 1,822.95 : x
  2. Step 2: Convert to fraction form
    6,752.81/10,129.19 = 1,822.95/x
  3. Step 3: Cross multiply
    6,752.81x = 10,129.19 × 1,822.95
  4. Step 4: Simplify right side
    6,752.81x = 18,464,997.80
  5. Step 5: Solve for x
    x = 18,464,997.80/6,752.81
  6. Step 6: Final answer
    x = 2,734.42

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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.