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Finding the Fourth Proportional to 6,096, 8,412.54 and 3,301.56

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Solution

The fourth proportional to 6,096, 8,412.54 and 3,301.56 is: 4,556.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 8,412.54 = 3,301.56 : x
  2. Step 2: Convert to fraction form
    6,096/8,412.54 = 3,301.56/x
  3. Step 3: Cross multiply
    6,096x = 8,412.54 × 3,301.56
  4. Step 4: Simplify right side
    6,096x = 27,774,505.56
  5. Step 5: Solve for x
    x = 27,774,505.56/6,096
  6. Step 6: Final answer
    x = 4,556.19

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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.