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Finding the Fourth Proportional to 27,212.80, 40,816.80 and 7,489.60

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Solution

The fourth proportional to 27,212.80, 40,816.80 and 7,489.60 is: 11,233.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,212.80 : 40,816.80 = 7,489.60 : x
  2. Step 2: Convert to fraction form
    27,212.80/40,816.80 = 7,489.60/x
  3. Step 3: Cross multiply
    27,212.80x = 40,816.80 × 7,489.60
  4. Step 4: Simplify right side
    27,212.80x = 305,701,505.28
  5. Step 5: Solve for x
    x = 305,701,505.28/27,212.80
  6. Step 6: Final answer
    x = 11,233.74

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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.