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Finding the Fourth Proportional to 27,584.76, 41,383.56 and 7,863.60

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Solution

The fourth proportional to 27,584.76, 41,383.56 and 7,863.60 is: 11,797.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.76 : 41,383.56 = 7,863.60 : x
  2. Step 2: Convert to fraction form
    27,584.76/41,383.56 = 7,863.60/x
  3. Step 3: Cross multiply
    27,584.76x = 41,383.56 × 7,863.60
  4. Step 4: Simplify right side
    27,584.76x = 325,423,762.42
  5. Step 5: Solve for x
    x = 325,423,762.42/27,584.76
  6. Step 6: Final answer
    x = 11,797.23

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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.