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Finding the Fourth Proportional to 6,788.57, 9,368.34 and 3,805.07

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Solution

The fourth proportional to 6,788.57, 9,368.34 and 3,805.07 is: 5,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.57 : 9,368.34 = 3,805.07 : x
  2. Step 2: Convert to fraction form
    6,788.57/9,368.34 = 3,805.07/x
  3. Step 3: Cross multiply
    6,788.57x = 9,368.34 × 3,805.07
  4. Step 4: Simplify right side
    6,788.57x = 35,647,189.48
  5. Step 5: Solve for x
    x = 35,647,189.48/6,788.57
  6. Step 6: Final answer
    x = 5,251.06

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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.