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Finding the Fourth Proportional to 13,672.80, 20,506.40 and 3,809.60

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Solution

The fourth proportional to 13,672.80, 20,506.40 and 3,809.60 is: 5,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,672.80 : 20,506.40 = 3,809.60 : x
  2. Step 2: Convert to fraction form
    13,672.80/20,506.40 = 3,809.60/x
  3. Step 3: Cross multiply
    13,672.80x = 20,506.40 × 3,809.60
  4. Step 4: Simplify right side
    13,672.80x = 78,121,181.44
  5. Step 5: Solve for x
    x = 78,121,181.44/13,672.80
  6. Step 6: Final answer
    x = 5,713.62

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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.