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Finding the Fourth Proportional to 6,578.34, 9,858.63 and 3,018.06

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Solution

The fourth proportional to 6,578.34, 9,858.63 and 3,018.06 is: 4,523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.34 : 9,858.63 = 3,018.06 : x
  2. Step 2: Convert to fraction form
    6,578.34/9,858.63 = 3,018.06/x
  3. Step 3: Cross multiply
    6,578.34x = 9,858.63 × 3,018.06
  4. Step 4: Simplify right side
    6,578.34x = 29,753,936.86
  5. Step 5: Solve for x
    x = 29,753,936.86/6,578.34
  6. Step 6: Final answer
    x = 4,523.02

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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.