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Finding the Fourth Proportional to 6,797.72, 10,197.14 and 2,902.20

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Solution

The fourth proportional to 6,797.72, 10,197.14 and 2,902.20 is: 4,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,797.72 : 10,197.14 = 2,902.20 : x
  2. Step 2: Convert to fraction form
    6,797.72/10,197.14 = 2,902.20/x
  3. Step 3: Cross multiply
    6,797.72x = 10,197.14 × 2,902.20
  4. Step 4: Simplify right side
    6,797.72x = 29,594,139.71
  5. Step 5: Solve for x
    x = 29,594,139.71/6,797.72
  6. Step 6: Final answer
    x = 4,353.54

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1.5x scale

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.