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Finding the Fourth Proportional to 8,203.60, 12,305.40 and 7,231.60

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Solution

The fourth proportional to 8,203.60, 12,305.40 and 7,231.60 is: 10,847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.60 : 12,305.40 = 7,231.60 : x
  2. Step 2: Convert to fraction form
    8,203.60/12,305.40 = 7,231.60/x
  3. Step 3: Cross multiply
    8,203.60x = 12,305.40 × 7,231.60
  4. Step 4: Simplify right side
    8,203.60x = 88,987,730.64
  5. Step 5: Solve for x
    x = 88,987,730.64/8,203.60
  6. Step 6: Final answer
    x = 10,847.40

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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.