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Finding the Fourth Proportional to 6,471.97, 9,705.90 and 2,773.21

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Solution

The fourth proportional to 6,471.97, 9,705.90 and 2,773.21 is: 4,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.97 : 9,705.90 = 2,773.21 : x
  2. Step 2: Convert to fraction form
    6,471.97/9,705.90 = 2,773.21/x
  3. Step 3: Cross multiply
    6,471.97x = 9,705.90 × 2,773.21
  4. Step 4: Simplify right side
    6,471.97x = 26,916,498.94
  5. Step 5: Solve for x
    x = 26,916,498.94/6,471.97
  6. Step 6: Final answer
    x = 4,158.93

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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.