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Finding the Fourth Proportional to 6,489.06, 9,734.81 and 3,026.31

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Solution

The fourth proportional to 6,489.06, 9,734.81 and 3,026.31 is: 4,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.06 : 9,734.81 = 3,026.31 : x
  2. Step 2: Convert to fraction form
    6,489.06/9,734.81 = 3,026.31/x
  3. Step 3: Cross multiply
    6,489.06x = 9,734.81 × 3,026.31
  4. Step 4: Simplify right side
    6,489.06x = 29,460,577.19
  5. Step 5: Solve for x
    x = 29,460,577.19/6,489.06
  6. Step 6: Final answer
    x = 4,540.04

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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.