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Finding the Fourth Proportional to 8,097.66, 12,144.78 and 4,144.68

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Solution

The fourth proportional to 8,097.66, 12,144.78 and 4,144.68 is: 6,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.66 : 12,144.78 = 4,144.68 : x
  2. Step 2: Convert to fraction form
    8,097.66/12,144.78 = 4,144.68/x
  3. Step 3: Cross multiply
    8,097.66x = 12,144.78 × 4,144.68
  4. Step 4: Simplify right side
    8,097.66x = 50,336,226.77
  5. Step 5: Solve for x
    x = 50,336,226.77/8,097.66
  6. Step 6: Final answer
    x = 6,216.14

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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.