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Finding the Fourth Proportional to 6,772.27, 9,345.78 and 3,788.23

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Solution

The fourth proportional to 6,772.27, 9,345.78 and 3,788.23 is: 5,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.27 : 9,345.78 = 3,788.23 : x
  2. Step 2: Convert to fraction form
    6,772.27/9,345.78 = 3,788.23/x
  3. Step 3: Cross multiply
    6,772.27x = 9,345.78 × 3,788.23
  4. Step 4: Simplify right side
    6,772.27x = 35,403,964.17
  5. Step 5: Solve for x
    x = 35,403,964.17/6,772.27
  6. Step 6: Final answer
    x = 5,227.78

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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.