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Finding the Fourth Proportional to 6,750.42, 9,315.72 and 3,766.38

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Solution

The fourth proportional to 6,750.42, 9,315.72 and 3,766.38 is: 5,197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.42 : 9,315.72 = 3,766.38 : x
  2. Step 2: Convert to fraction form
    6,750.42/9,315.72 = 3,766.38/x
  3. Step 3: Cross multiply
    6,750.42x = 9,315.72 × 3,766.38
  4. Step 4: Simplify right side
    6,750.42x = 35,086,541.49
  5. Step 5: Solve for x
    x = 35,086,541.49/6,750.42
  6. Step 6: Final answer
    x = 5,197.68

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1.5x scale

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.