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Finding the Fourth Proportional to 5,968.12, 8,236.74 and 3,871.48

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Solution

The fourth proportional to 5,968.12, 8,236.74 and 3,871.48 is: 5,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.12 : 8,236.74 = 3,871.48 : x
  2. Step 2: Convert to fraction form
    5,968.12/8,236.74 = 3,871.48/x
  3. Step 3: Cross multiply
    5,968.12x = 8,236.74 × 3,871.48
  4. Step 4: Simplify right side
    5,968.12x = 31,888,374.18
  5. Step 5: Solve for x
    x = 31,888,374.18/5,968.12
  6. Step 6: Final answer
    x = 5,343.12

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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.