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Finding the Fourth Proportional to 8,014.64, 12,023.88 and 2,820.56

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Solution

The fourth proportional to 8,014.64, 12,023.88 and 2,820.56 is: 4,231.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014.64 : 12,023.88 = 2,820.56 : x
  2. Step 2: Convert to fraction form
    8,014.64/12,023.88 = 2,820.56/x
  3. Step 3: Cross multiply
    8,014.64x = 12,023.88 × 2,820.56
  4. Step 4: Simplify right side
    8,014.64x = 33,914,074.97
  5. Step 5: Solve for x
    x = 33,914,074.97/8,014.64
  6. Step 6: Final answer
    x = 4,231.52

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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.