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Finding the Fourth Proportional to 6,750.47, 9,315.22 and 3,766.50

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Solution

The fourth proportional to 6,750.47, 9,315.22 and 3,766.50 is: 5,197.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.47 : 9,315.22 = 3,766.50 : x
  2. Step 2: Convert to fraction form
    6,750.47/9,315.22 = 3,766.50/x
  3. Step 3: Cross multiply
    6,750.47x = 9,315.22 × 3,766.50
  4. Step 4: Simplify right side
    6,750.47x = 35,085,776.13
  5. Step 5: Solve for x
    x = 35,085,776.13/6,750.47
  6. Step 6: Final answer
    x = 5,197.53

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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.