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Finding the Fourth Proportional to 6,728.45, 9,289.52 and 4,956.98

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Solution

The fourth proportional to 6,728.45, 9,289.52 and 4,956.98 is: 6,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.45 : 9,289.52 = 4,956.98 : x
  2. Step 2: Convert to fraction form
    6,728.45/9,289.52 = 4,956.98/x
  3. Step 3: Cross multiply
    6,728.45x = 9,289.52 × 4,956.98
  4. Step 4: Simplify right side
    6,728.45x = 46,047,912.21
  5. Step 5: Solve for x
    x = 46,047,912.21/6,728.45
  6. Step 6: Final answer
    x = 6,843.77

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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.