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Finding the Fourth Proportional to 6,297.77, 9,448.02 and 2,081.20

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Solution

The fourth proportional to 6,297.77, 9,448.02 and 2,081.20 is: 3,122.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.77 : 9,448.02 = 2,081.20 : x
  2. Step 2: Convert to fraction form
    6,297.77/9,448.02 = 2,081.20/x
  3. Step 3: Cross multiply
    6,297.77x = 9,448.02 × 2,081.20
  4. Step 4: Simplify right side
    6,297.77x = 19,663,171.98
  5. Step 5: Solve for x
    x = 19,663,171.98/6,297.77
  6. Step 6: Final answer
    x = 3,122.24

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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.