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Finding the Fourth Proportional to 13,751.20, 20,626.80 and 6,824.80

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Solution

The fourth proportional to 13,751.20, 20,626.80 and 6,824.80 is: 10,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.20 : 20,626.80 = 6,824.80 : x
  2. Step 2: Convert to fraction form
    13,751.20/20,626.80 = 6,824.80/x
  3. Step 3: Cross multiply
    13,751.20x = 20,626.80 × 6,824.80
  4. Step 4: Simplify right side
    13,751.20x = 140,773,784.64
  5. Step 5: Solve for x
    x = 140,773,784.64/13,751.20
  6. Step 6: Final answer
    x = 10,237.20

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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.