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Finding the Fourth Proportional to 7,229.75, 9,977.07 and 3,917.75

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Solution

The fourth proportional to 7,229.75, 9,977.07 and 3,917.75 is: 5,406.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229.75 : 9,977.07 = 3,917.75 : x
  2. Step 2: Convert to fraction form
    7,229.75/9,977.07 = 3,917.75/x
  3. Step 3: Cross multiply
    7,229.75x = 9,977.07 × 3,917.75
  4. Step 4: Simplify right side
    7,229.75x = 39,087,665.99
  5. Step 5: Solve for x
    x = 39,087,665.99/7,229.75
  6. Step 6: Final answer
    x = 5,406.50

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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.