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Finding the Fourth Proportional to 6,512.74, 9,769.32 and 2,009.44

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Solution

The fourth proportional to 6,512.74, 9,769.32 and 2,009.44 is: 3,014.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.74 : 9,769.32 = 2,009.44 : x
  2. Step 2: Convert to fraction form
    6,512.74/9,769.32 = 2,009.44/x
  3. Step 3: Cross multiply
    6,512.74x = 9,769.32 × 2,009.44
  4. Step 4: Simplify right side
    6,512.74x = 19,630,862.38
  5. Step 5: Solve for x
    x = 19,630,862.38/6,512.74
  6. Step 6: Final answer
    x = 3,014.22

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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.