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Finding the Fourth Proportional to 6,397.28, 9,579.84 and 4,050.24

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Solution

The fourth proportional to 6,397.28, 9,579.84 and 4,050.24 is: 6,065.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.28 : 9,579.84 = 4,050.24 : x
  2. Step 2: Convert to fraction form
    6,397.28/9,579.84 = 4,050.24/x
  3. Step 3: Cross multiply
    6,397.28x = 9,579.84 × 4,050.24
  4. Step 4: Simplify right side
    6,397.28x = 38,800,651.16
  5. Step 5: Solve for x
    x = 38,800,651.16/6,397.28
  6. Step 6: Final answer
    x = 6,065.18

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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.