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Finding the Fourth Proportional to 5,998.14, 8,274.33 and 3,762.54

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Solution

The fourth proportional to 5,998.14, 8,274.33 and 3,762.54 is: 5,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.14 : 8,274.33 = 3,762.54 : x
  2. Step 2: Convert to fraction form
    5,998.14/8,274.33 = 3,762.54/x
  3. Step 3: Cross multiply
    5,998.14x = 8,274.33 × 3,762.54
  4. Step 4: Simplify right side
    5,998.14x = 31,132,497.60
  5. Step 5: Solve for x
    x = 31,132,497.60/5,998.14
  6. Step 6: Final answer
    x = 5,190.36

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Half scale
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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.