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Finding the Fourth Proportional to 4,096.62, 6,144.81 and 1,018.62

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Solution

The fourth proportional to 4,096.62, 6,144.81 and 1,018.62 is: 1,527.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.62 : 6,144.81 = 1,018.62 : x
  2. Step 2: Convert to fraction form
    4,096.62/6,144.81 = 1,018.62/x
  3. Step 3: Cross multiply
    4,096.62x = 6,144.81 × 1,018.62
  4. Step 4: Simplify right side
    4,096.62x = 6,259,226.36
  5. Step 5: Solve for x
    x = 6,259,226.36/4,096.62
  6. Step 6: Final answer
    x = 1,527.90

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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.