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Finding the Fourth Proportional to 6,570.16, 9,067.62 and 3,738.23

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Solution

The fourth proportional to 6,570.16, 9,067.62 and 3,738.23 is: 5,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.16 : 9,067.62 = 3,738.23 : x
  2. Step 2: Convert to fraction form
    6,570.16/9,067.62 = 3,738.23/x
  3. Step 3: Cross multiply
    6,570.16x = 9,067.62 × 3,738.23
  4. Step 4: Simplify right side
    6,570.16x = 33,896,815.78
  5. Step 5: Solve for x
    x = 33,896,815.78/6,570.16
  6. Step 6: Final answer
    x = 5,159.20

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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.