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Finding the Fourth Proportional to 6,790.78, 9,370.78 and 3,765.87

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Solution

The fourth proportional to 6,790.78, 9,370.78 and 3,765.87 is: 5,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.78 : 9,370.78 = 3,765.87 : x
  2. Step 2: Convert to fraction form
    6,790.78/9,370.78 = 3,765.87/x
  3. Step 3: Cross multiply
    6,790.78x = 9,370.78 × 3,765.87
  4. Step 4: Simplify right side
    6,790.78x = 35,289,139.28
  5. Step 5: Solve for x
    x = 35,289,139.28/6,790.78
  6. Step 6: Final answer
    x = 5,196.63

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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.