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Finding the Fourth Proportional to 18,283.20, 27,412.56 and 8,409.12

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Solution

The fourth proportional to 18,283.20, 27,412.56 and 8,409.12 is: 12,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.20 : 27,412.56 = 8,409.12 : x
  2. Step 2: Convert to fraction form
    18,283.20/27,412.56 = 8,409.12/x
  3. Step 3: Cross multiply
    18,283.20x = 27,412.56 × 8,409.12
  4. Step 4: Simplify right side
    18,283.20x = 230,515,506.55
  5. Step 5: Solve for x
    x = 230,515,506.55/18,283.20
  6. Step 6: Final answer
    x = 12,608.05

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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.