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Finding the Fourth Proportional to 6,847.26, 9,449.22 and 3,703.46

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Solution

The fourth proportional to 6,847.26, 9,449.22 and 3,703.46 is: 5,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.26 : 9,449.22 = 3,703.46 : x
  2. Step 2: Convert to fraction form
    6,847.26/9,449.22 = 3,703.46/x
  3. Step 3: Cross multiply
    6,847.26x = 9,449.22 × 3,703.46
  4. Step 4: Simplify right side
    6,847.26x = 34,994,761.06
  5. Step 5: Solve for x
    x = 34,994,761.06/6,847.26
  6. Step 6: Final answer
    x = 5,110.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.