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Finding the Fourth Proportional to 6,512.76, 9,763.38 and 3,771

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Solution

The fourth proportional to 6,512.76, 9,763.38 and 3,771 is: 5,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.76 : 9,763.38 = 3,771 : x
  2. Step 2: Convert to fraction form
    6,512.76/9,763.38 = 3,771/x
  3. Step 3: Cross multiply
    6,512.76x = 9,763.38 × 3,771
  4. Step 4: Simplify right side
    6,512.76x = 36,817,705.98
  5. Step 5: Solve for x
    x = 36,817,705.98/6,512.76
  6. Step 6: Final answer
    x = 5,653.16

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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.