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Finding the Fourth Proportional to 8,200.60, 12,299.70 and 2,356.60

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Solution

The fourth proportional to 8,200.60, 12,299.70 and 2,356.60 is: 3,534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.60 : 12,299.70 = 2,356.60 : x
  2. Step 2: Convert to fraction form
    8,200.60/12,299.70 = 2,356.60/x
  3. Step 3: Cross multiply
    8,200.60x = 12,299.70 × 2,356.60
  4. Step 4: Simplify right side
    8,200.60x = 28,985,473.02
  5. Step 5: Solve for x
    x = 28,985,473.02/8,200.60
  6. Step 6: Final answer
    x = 3,534.56

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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.