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Finding the Fourth Proportional to 8,005.96, 12,002.46 and 3,074.68

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Solution

The fourth proportional to 8,005.96, 12,002.46 and 3,074.68 is: 4,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.96 : 12,002.46 = 3,074.68 : x
  2. Step 2: Convert to fraction form
    8,005.96/12,002.46 = 3,074.68/x
  3. Step 3: Cross multiply
    8,005.96x = 12,002.46 × 3,074.68
  4. Step 4: Simplify right side
    8,005.96x = 36,903,723.71
  5. Step 5: Solve for x
    x = 36,903,723.71/8,005.96
  6. Step 6: Final answer
    x = 4,609.53

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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.