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Finding the Fourth Proportional to 8,049.74, 12,074.65 and 3,664.13

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Solution

The fourth proportional to 8,049.74, 12,074.65 and 3,664.13 is: 5,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,049.74 : 12,074.65 = 3,664.13 : x
  2. Step 2: Convert to fraction form
    8,049.74/12,074.65 = 3,664.13/x
  3. Step 3: Cross multiply
    8,049.74x = 12,074.65 × 3,664.13
  4. Step 4: Simplify right side
    8,049.74x = 44,243,017.77
  5. Step 5: Solve for x
    x = 44,243,017.77/8,049.74
  6. Step 6: Final answer
    x = 5,496.21

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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.