Home / 6,096-8,409.24-4,103.16

Finding the Fourth Proportional to 6,096, 8,409.24 and 4,103.16

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Solution

The fourth proportional to 6,096, 8,409.24 and 4,103.16 is: 5,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 8,409.24 = 4,103.16 : x
  2. Step 2: Convert to fraction form
    6,096/8,409.24 = 4,103.16/x
  3. Step 3: Cross multiply
    6,096x = 8,409.24 × 4,103.16
  4. Step 4: Simplify right side
    6,096x = 34,504,457.20
  5. Step 5: Solve for x
    x = 34,504,457.20/6,096
  6. Step 6: Final answer
    x = 5,660.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.