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Finding the Fourth Proportional to 27,991.07, 41,986.60 and 8,283.46

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Solution

The fourth proportional to 27,991.07, 41,986.60 and 8,283.46 is: 12,425.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,991.07 : 41,986.60 = 8,283.46 : x
  2. Step 2: Convert to fraction form
    27,991.07/41,986.60 = 8,283.46/x
  3. Step 3: Cross multiply
    27,991.07x = 41,986.60 × 8,283.46
  4. Step 4: Simplify right side
    27,991.07x = 347,794,280.22
  5. Step 5: Solve for x
    x = 347,794,280.22/27,991.07
  6. Step 6: Final answer
    x = 12,425.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.