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Finding the Fourth Proportional to 6,200.96, 9,302.40 and 2,096

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Solution

The fourth proportional to 6,200.96, 9,302.40 and 2,096 is: 3,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.96 : 9,302.40 = 2,096 : x
  2. Step 2: Convert to fraction form
    6,200.96/9,302.40 = 2,096/x
  3. Step 3: Cross multiply
    6,200.96x = 9,302.40 × 2,096
  4. Step 4: Simplify right side
    6,200.96x = 19,497,830.40
  5. Step 5: Solve for x
    x = 19,497,830.40/6,200.96
  6. Step 6: Final answer
    x = 3,144.32

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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.