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Finding the Fourth Proportional to 6,523.48, 9,786.83 and 3,015.93

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Solution

The fourth proportional to 6,523.48, 9,786.83 and 3,015.93 is: 4,524.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.48 : 9,786.83 = 3,015.93 : x
  2. Step 2: Convert to fraction form
    6,523.48/9,786.83 = 3,015.93/x
  3. Step 3: Cross multiply
    6,523.48x = 9,786.83 × 3,015.93
  4. Step 4: Simplify right side
    6,523.48x = 29,516,333.25
  5. Step 5: Solve for x
    x = 29,516,333.25/6,523.48
  6. Step 6: Final answer
    x = 4,524.63

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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.