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Finding the Fourth Proportional to 6,788.75, 9,368.87 and 3,804.44

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Solution

The fourth proportional to 6,788.75, 9,368.87 and 3,804.44 is: 5,250.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.75 : 9,368.87 = 3,804.44 : x
  2. Step 2: Convert to fraction form
    6,788.75/9,368.87 = 3,804.44/x
  3. Step 3: Cross multiply
    6,788.75x = 9,368.87 × 3,804.44
  4. Step 4: Simplify right side
    6,788.75x = 35,643,237.92
  5. Step 5: Solve for x
    x = 35,643,237.92/6,788.75
  6. Step 6: Final answer
    x = 5,250.34

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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.