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Finding the Fourth Proportional to 8,009.76, 12,012.24 and 3,847.44

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Solution

The fourth proportional to 8,009.76, 12,012.24 and 3,847.44 is: 5,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.76 : 12,012.24 = 3,847.44 : x
  2. Step 2: Convert to fraction form
    8,009.76/12,012.24 = 3,847.44/x
  3. Step 3: Cross multiply
    8,009.76x = 12,012.24 × 3,847.44
  4. Step 4: Simplify right side
    8,009.76x = 46,216,372.67
  5. Step 5: Solve for x
    x = 46,216,372.67/8,009.76
  6. Step 6: Final answer
    x = 5,770.01

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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.