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Finding the Fourth Proportional to 6,404.11, 9,602.83 and 3,023.38

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Solution

The fourth proportional to 6,404.11, 9,602.83 and 3,023.38 is: 4,533.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.11 : 9,602.83 = 3,023.38 : x
  2. Step 2: Convert to fraction form
    6,404.11/9,602.83 = 3,023.38/x
  3. Step 3: Cross multiply
    6,404.11x = 9,602.83 × 3,023.38
  4. Step 4: Simplify right side
    6,404.11x = 29,032,957.43
  5. Step 5: Solve for x
    x = 29,032,957.43/6,404.11
  6. Step 6: Final answer
    x = 4,533.49

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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.