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Finding the Fourth Proportional to 6,512.89, 9,769.22 and 1,582.49

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Solution

The fourth proportional to 6,512.89, 9,769.22 and 1,582.49 is: 2,373.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.89 : 9,769.22 = 1,582.49 : x
  2. Step 2: Convert to fraction form
    6,512.89/9,769.22 = 1,582.49/x
  3. Step 3: Cross multiply
    6,512.89x = 9,769.22 × 1,582.49
  4. Step 4: Simplify right side
    6,512.89x = 15,459,692.96
  5. Step 5: Solve for x
    x = 15,459,692.96/6,512.89
  6. Step 6: Final answer
    x = 2,373.71

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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.