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Finding the Fourth Proportional to 27,283.17, 40,924.78 and 8,564.88

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Solution

The fourth proportional to 27,283.17, 40,924.78 and 8,564.88 is: 12,847.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,283.17 : 40,924.78 = 8,564.88 : x
  2. Step 2: Convert to fraction form
    27,283.17/40,924.78 = 8,564.88/x
  3. Step 3: Cross multiply
    27,283.17x = 40,924.78 × 8,564.88
  4. Step 4: Simplify right side
    27,283.17x = 350,515,829.73
  5. Step 5: Solve for x
    x = 350,515,829.73/27,283.17
  6. Step 6: Final answer
    x = 12,847.33

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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.