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Finding the Fourth Proportional to 6,788.11, 9,367.49 and 3,804.00

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Solution

The fourth proportional to 6,788.11, 9,367.49 and 3,804.00 is: 5,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.11 : 9,367.49 = 3,804.00 : x
  2. Step 2: Convert to fraction form
    6,788.11/9,367.49 = 3,804.00/x
  3. Step 3: Cross multiply
    6,788.11x = 9,367.49 × 3,804.00
  4. Step 4: Simplify right side
    6,788.11x = 35,633,931.04
  5. Step 5: Solve for x
    x = 35,633,931.04/6,788.11
  6. Step 6: Final answer
    x = 5,249.47

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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.