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Finding the Fourth Proportional to 6,983.03, 10,463.61 and 4,023.29

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Solution

The fourth proportional to 6,983.03, 10,463.61 and 4,023.29 is: 6,028.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.03 : 10,463.61 = 4,023.29 : x
  2. Step 2: Convert to fraction form
    6,983.03/10,463.61 = 4,023.29/x
  3. Step 3: Cross multiply
    6,983.03x = 10,463.61 × 4,023.29
  4. Step 4: Simplify right side
    6,983.03x = 42,098,178.72
  5. Step 5: Solve for x
    x = 42,098,178.72/6,983.03
  6. Step 6: Final answer
    x = 6,028.64

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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.