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Finding the Fourth Proportional to 8,200.80, 12,276.90 and 5,430.60

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Solution

The fourth proportional to 8,200.80, 12,276.90 and 5,430.60 is: 8,129.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.80 : 12,276.90 = 5,430.60 : x
  2. Step 2: Convert to fraction form
    8,200.80/12,276.90 = 5,430.60/x
  3. Step 3: Cross multiply
    8,200.80x = 12,276.90 × 5,430.60
  4. Step 4: Simplify right side
    8,200.80x = 66,670,933.14
  5. Step 5: Solve for x
    x = 66,670,933.14/8,200.80
  6. Step 6: Final answer
    x = 8,129.81

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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.