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Finding the Fourth Proportional to 6,512.67, 9,755.93 and 2,997.77

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Solution

The fourth proportional to 6,512.67, 9,755.93 and 2,997.77 is: 4,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.67 : 9,755.93 = 2,997.77 : x
  2. Step 2: Convert to fraction form
    6,512.67/9,755.93 = 2,997.77/x
  3. Step 3: Cross multiply
    6,512.67x = 9,755.93 × 2,997.77
  4. Step 4: Simplify right side
    6,512.67x = 29,246,034.28
  5. Step 5: Solve for x
    x = 29,246,034.28/6,512.67
  6. Step 6: Final answer
    x = 4,490.64

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1.5x scale

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.