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Finding the Fourth Proportional to 12,576.80, 18,886.80 and 8,213.60

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Solution

The fourth proportional to 12,576.80, 18,886.80 and 8,213.60 is: 12,334.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.80 : 18,886.80 = 8,213.60 : x
  2. Step 2: Convert to fraction form
    12,576.80/18,886.80 = 8,213.60/x
  3. Step 3: Cross multiply
    12,576.80x = 18,886.80 × 8,213.60
  4. Step 4: Simplify right side
    12,576.80x = 155,128,620.48
  5. Step 5: Solve for x
    x = 155,128,620.48/12,576.80
  6. Step 6: Final answer
    x = 12,334.51

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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.