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Finding the Fourth Proportional to 6,354.96, 9,538.40 and 3,435.56

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Solution

The fourth proportional to 6,354.96, 9,538.40 and 3,435.56 is: 5,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.96 : 9,538.40 = 3,435.56 : x
  2. Step 2: Convert to fraction form
    6,354.96/9,538.40 = 3,435.56/x
  3. Step 3: Cross multiply
    6,354.96x = 9,538.40 × 3,435.56
  4. Step 4: Simplify right side
    6,354.96x = 32,769,745.50
  5. Step 5: Solve for x
    x = 32,769,745.50/6,354.96
  6. Step 6: Final answer
    x = 5,156.56

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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.