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Finding the Fourth Proportional to 5,941, 8,193 and 4,270.69

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Solution

The fourth proportional to 5,941, 8,193 and 4,270.69 is: 5,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,941 : 8,193 = 4,270.69 : x
  2. Step 2: Convert to fraction form
    5,941/8,193 = 4,270.69/x
  3. Step 3: Cross multiply
    5,941x = 8,193 × 4,270.69
  4. Step 4: Simplify right side
    5,941x = 34,989,763.17
  5. Step 5: Solve for x
    x = 34,989,763.17/5,941
  6. Step 6: Final answer
    x = 5,889.54

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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.