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Finding the Fourth Proportional to 6,512.50, 9,769.17 and 2,616.91

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Solution

The fourth proportional to 6,512.50, 9,769.17 and 2,616.91 is: 3,925.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.50 : 9,769.17 = 2,616.91 : x
  2. Step 2: Convert to fraction form
    6,512.50/9,769.17 = 2,616.91/x
  3. Step 3: Cross multiply
    6,512.50x = 9,769.17 × 2,616.91
  4. Step 4: Simplify right side
    6,512.50x = 25,565,024.06
  5. Step 5: Solve for x
    x = 25,565,024.06/6,512.50
  6. Step 6: Final answer
    x = 3,925.53

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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.