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Finding the Fourth Proportional to 6,745.01, 9,306.50 and 4,091.92

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Solution

The fourth proportional to 6,745.01, 9,306.50 and 4,091.92 is: 5,645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.01 : 9,306.50 = 4,091.92 : x
  2. Step 2: Convert to fraction form
    6,745.01/9,306.50 = 4,091.92/x
  3. Step 3: Cross multiply
    6,745.01x = 9,306.50 × 4,091.92
  4. Step 4: Simplify right side
    6,745.01x = 38,081,409.75
  5. Step 5: Solve for x
    x = 38,081,409.75/6,745.01
  6. Step 6: Final answer
    x = 5,645.87

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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.