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Finding the Fourth Proportional to 6,727.20, 10,069.20 and 4,783.20

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Solution

The fourth proportional to 6,727.20, 10,069.20 and 4,783.20 is: 7,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.20 : 10,069.20 = 4,783.20 : x
  2. Step 2: Convert to fraction form
    6,727.20/10,069.20 = 4,783.20/x
  3. Step 3: Cross multiply
    6,727.20x = 10,069.20 × 4,783.20
  4. Step 4: Simplify right side
    6,727.20x = 48,162,997.44
  5. Step 5: Solve for x
    x = 48,162,997.44/6,727.20
  6. Step 6: Final answer
    x = 7,159.44

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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.