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Finding the Fourth Proportional to 9,608.54, 14,410.98 and 4,065.75

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Solution

The fourth proportional to 9,608.54, 14,410.98 and 4,065.75 is: 6,097.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.54 : 14,410.98 = 4,065.75 : x
  2. Step 2: Convert to fraction form
    9,608.54/14,410.98 = 4,065.75/x
  3. Step 3: Cross multiply
    9,608.54x = 14,410.98 × 4,065.75
  4. Step 4: Simplify right side
    9,608.54x = 58,591,441.94
  5. Step 5: Solve for x
    x = 58,591,441.94/9,608.54
  6. Step 6: Final answer
    x = 6,097.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.