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Finding the Fourth Proportional to 4,096, 6,144.04 and 1,018

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Solution

The fourth proportional to 4,096, 6,144.04 and 1,018 is: 1,527.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096 : 6,144.04 = 1,018 : x
  2. Step 2: Convert to fraction form
    4,096/6,144.04 = 1,018/x
  3. Step 3: Cross multiply
    4,096x = 6,144.04 × 1,018
  4. Step 4: Simplify right side
    4,096x = 6,254,632.72
  5. Step 5: Solve for x
    x = 6,254,632.72/4,096
  6. Step 6: Final answer
    x = 1,527.01

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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.