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Finding the Fourth Proportional to 8,489.60, 12,734.40 and 8,003.60

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Solution

The fourth proportional to 8,489.60, 12,734.40 and 8,003.60 is: 12,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 12,734.40 = 8,003.60 : x
  2. Step 2: Convert to fraction form
    8,489.60/12,734.40 = 8,003.60/x
  3. Step 3: Cross multiply
    8,489.60x = 12,734.40 × 8,003.60
  4. Step 4: Simplify right side
    8,489.60x = 101,921,043.84
  5. Step 5: Solve for x
    x = 101,921,043.84/8,489.60
  6. Step 6: Final answer
    x = 12,005.40

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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.