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Finding the Fourth Proportional to 6,935.54, 10,402.90 and 2,005.07

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Solution

The fourth proportional to 6,935.54, 10,402.90 and 2,005.07 is: 3,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,935.54 : 10,402.90 = 2,005.07 : x
  2. Step 2: Convert to fraction form
    6,935.54/10,402.90 = 2,005.07/x
  3. Step 3: Cross multiply
    6,935.54x = 10,402.90 × 2,005.07
  4. Step 4: Simplify right side
    6,935.54x = 20,858,542.70
  5. Step 5: Solve for x
    x = 20,858,542.70/6,935.54
  6. Step 6: Final answer
    x = 3,007.49

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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.