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Finding the Fourth Proportional to 6,064, 9,096.16 and 2,767.20

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Solution

The fourth proportional to 6,064, 9,096.16 and 2,767.20 is: 4,150.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,064 : 9,096.16 = 2,767.20 : x
  2. Step 2: Convert to fraction form
    6,064/9,096.16 = 2,767.20/x
  3. Step 3: Cross multiply
    6,064x = 9,096.16 × 2,767.20
  4. Step 4: Simplify right side
    6,064x = 25,170,893.95
  5. Step 5: Solve for x
    x = 25,170,893.95/6,064
  6. Step 6: Final answer
    x = 4,150.87

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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.