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Finding the Fourth Proportional to 6,091.65, 8,406.63 and 3,438.54

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Solution

The fourth proportional to 6,091.65, 8,406.63 and 3,438.54 is: 4,745.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.65 : 8,406.63 = 3,438.54 : x
  2. Step 2: Convert to fraction form
    6,091.65/8,406.63 = 3,438.54/x
  3. Step 3: Cross multiply
    6,091.65x = 8,406.63 × 3,438.54
  4. Step 4: Simplify right side
    6,091.65x = 28,906,533.52
  5. Step 5: Solve for x
    x = 28,906,533.52/6,091.65
  6. Step 6: Final answer
    x = 4,745.27

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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.