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Finding the Fourth Proportional to 12,057.80, 18,080.20 and 3,734.24

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Solution

The fourth proportional to 12,057.80, 18,080.20 and 3,734.24 is: 5,599.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.80 : 18,080.20 = 3,734.24 : x
  2. Step 2: Convert to fraction form
    12,057.80/18,080.20 = 3,734.24/x
  3. Step 3: Cross multiply
    12,057.80x = 18,080.20 × 3,734.24
  4. Step 4: Simplify right side
    12,057.80x = 67,515,806.05
  5. Step 5: Solve for x
    x = 67,515,806.05/12,057.80
  6. Step 6: Final answer
    x = 5,599.35

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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.