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Finding the Fourth Proportional to 6,570.77, 9,067.44 and 3,738.45

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Solution

The fourth proportional to 6,570.77, 9,067.44 and 3,738.45 is: 5,158.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.77 : 9,067.44 = 3,738.45 : x
  2. Step 2: Convert to fraction form
    6,570.77/9,067.44 = 3,738.45/x
  3. Step 3: Cross multiply
    6,570.77x = 9,067.44 × 3,738.45
  4. Step 4: Simplify right side
    6,570.77x = 33,898,219.09
  5. Step 5: Solve for x
    x = 33,898,219.09/6,570.77
  6. Step 6: Final answer
    x = 5,158.94

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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.