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Finding the Fourth Proportional to 6,353.73, 9,533.43 and 3,428.64

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Solution

The fourth proportional to 6,353.73, 9,533.43 and 3,428.64 is: 5,144.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.73 : 9,533.43 = 3,428.64 : x
  2. Step 2: Convert to fraction form
    6,353.73/9,533.43 = 3,428.64/x
  3. Step 3: Cross multiply
    6,353.73x = 9,533.43 × 3,428.64
  4. Step 4: Simplify right side
    6,353.73x = 32,686,699.44
  5. Step 5: Solve for x
    x = 32,686,699.44/6,353.73
  6. Step 6: Final answer
    x = 5,144.49

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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.