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Finding the Fourth Proportional to 6,474.68, 9,712.00 and 2,774.51

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Solution

The fourth proportional to 6,474.68, 9,712.00 and 2,774.51 is: 4,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.68 : 9,712.00 = 2,774.51 : x
  2. Step 2: Convert to fraction form
    6,474.68/9,712.00 = 2,774.51/x
  3. Step 3: Cross multiply
    6,474.68x = 9,712.00 × 2,774.51
  4. Step 4: Simplify right side
    6,474.68x = 26,945,996.03
  5. Step 5: Solve for x
    x = 26,945,996.03/6,474.68
  6. Step 6: Final answer
    x = 4,161.75

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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.