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Finding the Fourth Proportional to 27,683.88, 41,520.24 and 7,957.80

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Solution

The fourth proportional to 27,683.88, 41,520.24 and 7,957.80 is: 11,935.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,683.88 : 41,520.24 = 7,957.80 : x
  2. Step 2: Convert to fraction form
    27,683.88/41,520.24 = 7,957.80/x
  3. Step 3: Cross multiply
    27,683.88x = 41,520.24 × 7,957.80
  4. Step 4: Simplify right side
    27,683.88x = 330,409,765.87
  5. Step 5: Solve for x
    x = 330,409,765.87/27,683.88
  6. Step 6: Final answer
    x = 11,935.10

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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.