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Finding the Fourth Proportional to 6,297.01, 9,446.63 and 2,597.22

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Solution

The fourth proportional to 6,297.01, 9,446.63 and 2,597.22 is: 3,896.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.01 : 9,446.63 = 2,597.22 : x
  2. Step 2: Convert to fraction form
    6,297.01/9,446.63 = 2,597.22/x
  3. Step 3: Cross multiply
    6,297.01x = 9,446.63 × 2,597.22
  4. Step 4: Simplify right side
    6,297.01x = 24,534,976.37
  5. Step 5: Solve for x
    x = 24,534,976.37/6,297.01
  6. Step 6: Final answer
    x = 3,896.29

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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.