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Finding the Fourth Proportional to 6,536.34, 9,804.21 and 1,606.02

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Solution

The fourth proportional to 6,536.34, 9,804.21 and 1,606.02 is: 2,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.34 : 9,804.21 = 1,606.02 : x
  2. Step 2: Convert to fraction form
    6,536.34/9,804.21 = 1,606.02/x
  3. Step 3: Cross multiply
    6,536.34x = 9,804.21 × 1,606.02
  4. Step 4: Simplify right side
    6,536.34x = 15,745,757.34
  5. Step 5: Solve for x
    x = 15,745,757.34/6,536.34
  6. Step 6: Final answer
    x = 2,408.96

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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.