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Finding the Fourth Proportional to 6,991.74, 10,483.83 and 3,474.03

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Solution

The fourth proportional to 6,991.74, 10,483.83 and 3,474.03 is: 5,209.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,991.74 : 10,483.83 = 3,474.03 : x
  2. Step 2: Convert to fraction form
    6,991.74/10,483.83 = 3,474.03/x
  3. Step 3: Cross multiply
    6,991.74x = 10,483.83 × 3,474.03
  4. Step 4: Simplify right side
    6,991.74x = 36,421,139.93
  5. Step 5: Solve for x
    x = 36,421,139.93/6,991.74
  6. Step 6: Final answer
    x = 5,209.17

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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.