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Finding the Fourth Proportional to 6,536.49, 9,796.70 and 3,021.74

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Solution

The fourth proportional to 6,536.49, 9,796.70 and 3,021.74 is: 4,528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.49 : 9,796.70 = 3,021.74 : x
  2. Step 2: Convert to fraction form
    6,536.49/9,796.70 = 3,021.74/x
  3. Step 3: Cross multiply
    6,536.49x = 9,796.70 × 3,021.74
  4. Step 4: Simplify right side
    6,536.49x = 29,603,080.26
  5. Step 5: Solve for x
    x = 29,603,080.26/6,536.49
  6. Step 6: Final answer
    x = 4,528.90

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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.