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Finding the Fourth Proportional to 4,096.48, 6,144.72 and 1,018.48

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Solution

The fourth proportional to 4,096.48, 6,144.72 and 1,018.48 is: 1,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.48 : 6,144.72 = 1,018.48 : x
  2. Step 2: Convert to fraction form
    4,096.48/6,144.72 = 1,018.48/x
  3. Step 3: Cross multiply
    4,096.48x = 6,144.72 × 1,018.48
  4. Step 4: Simplify right side
    4,096.48x = 6,258,272.49
  5. Step 5: Solve for x
    x = 6,258,272.49/4,096.48
  6. Step 6: Final answer
    x = 1,527.72

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Similar ratio
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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.