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Finding the Fourth Proportional to 9,134.94, 13,706.76 and 4,974.78

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Solution

The fourth proportional to 9,134.94, 13,706.76 and 4,974.78 is: 7,464.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.94 : 13,706.76 = 4,974.78 : x
  2. Step 2: Convert to fraction form
    9,134.94/13,706.76 = 4,974.78/x
  3. Step 3: Cross multiply
    9,134.94x = 13,706.76 × 4,974.78
  4. Step 4: Simplify right side
    9,134.94x = 68,188,115.51
  5. Step 5: Solve for x
    x = 68,188,115.51/9,134.94
  6. Step 6: Final answer
    x = 7,464.54

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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.