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Finding the Fourth Proportional to 6,788.81, 9,367.80 and 3,804.22

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Solution

The fourth proportional to 6,788.81, 9,367.80 and 3,804.22 is: 5,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.81 : 9,367.80 = 3,804.22 : x
  2. Step 2: Convert to fraction form
    6,788.81/9,367.80 = 3,804.22/x
  3. Step 3: Cross multiply
    6,788.81x = 9,367.80 × 3,804.22
  4. Step 4: Simplify right side
    6,788.81x = 35,637,138.26
  5. Step 5: Solve for x
    x = 35,637,138.26/6,788.81
  6. Step 6: Final answer
    x = 5,249.39

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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.