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Finding the Fourth Proportional to 6,524.83, 9,786.03 and 3,014.70

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Solution

The fourth proportional to 6,524.83, 9,786.03 and 3,014.70 is: 4,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.83 : 9,786.03 = 3,014.70 : x
  2. Step 2: Convert to fraction form
    6,524.83/9,786.03 = 3,014.70/x
  3. Step 3: Cross multiply
    6,524.83x = 9,786.03 × 3,014.70
  4. Step 4: Simplify right side
    6,524.83x = 29,501,944.64
  5. Step 5: Solve for x
    x = 29,501,944.64/6,524.83
  6. Step 6: Final answer
    x = 4,521.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.