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Finding the Fourth Proportional to 9,136.80, 13,705.20 and 5,200.20

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Solution

The fourth proportional to 9,136.80, 13,705.20 and 5,200.20 is: 7,800.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.80 : 13,705.20 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    9,136.80/13,705.20 = 5,200.20/x
  3. Step 3: Cross multiply
    9,136.80x = 13,705.20 × 5,200.20
  4. Step 4: Simplify right side
    9,136.80x = 71,269,781.04
  5. Step 5: Solve for x
    x = 71,269,781.04/9,136.80
  6. Step 6: Final answer
    x = 7,800.30

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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.