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Finding the Fourth Proportional to 6,750.56, 9,315.80 and 3,766.44

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Solution

The fourth proportional to 6,750.56, 9,315.80 and 3,766.44 is: 5,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.56 : 9,315.80 = 3,766.44 : x
  2. Step 2: Convert to fraction form
    6,750.56/9,315.80 = 3,766.44/x
  3. Step 3: Cross multiply
    6,750.56x = 9,315.80 × 3,766.44
  4. Step 4: Simplify right side
    6,750.56x = 35,087,401.75
  5. Step 5: Solve for x
    x = 35,087,401.75/6,750.56
  6. Step 6: Final answer
    x = 5,197.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.