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Finding the Fourth Proportional to 6,096, 9,145.76 and 3,500.80

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Solution

The fourth proportional to 6,096, 9,145.76 and 3,500.80 is: 5,252.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096 : 9,145.76 = 3,500.80 : x
  2. Step 2: Convert to fraction form
    6,096/9,145.76 = 3,500.80/x
  3. Step 3: Cross multiply
    6,096x = 9,145.76 × 3,500.80
  4. Step 4: Simplify right side
    6,096x = 32,017,476.61
  5. Step 5: Solve for x
    x = 32,017,476.61/6,096
  6. Step 6: Final answer
    x = 5,252.21

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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.