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Finding the Fourth Proportional to 6,750.61, 9,315.82 and 3,766.41

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Solution

The fourth proportional to 6,750.61, 9,315.82 and 3,766.41 is: 5,197.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.61 : 9,315.82 = 3,766.41 : x
  2. Step 2: Convert to fraction form
    6,750.61/9,315.82 = 3,766.41/x
  3. Step 3: Cross multiply
    6,750.61x = 9,315.82 × 3,766.41
  4. Step 4: Simplify right side
    6,750.61x = 35,087,202.31
  5. Step 5: Solve for x
    x = 35,087,202.31/6,750.61
  6. Step 6: Final answer
    x = 5,197.64

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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.