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Finding the Fourth Proportional to 9,739.27, 14,621.46 and 8,361.46

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Solution

The fourth proportional to 9,739.27, 14,621.46 and 8,361.46 is: 12,552.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.27 : 14,621.46 = 8,361.46 : x
  2. Step 2: Convert to fraction form
    9,739.27/14,621.46 = 8,361.46/x
  3. Step 3: Cross multiply
    9,739.27x = 14,621.46 × 8,361.46
  4. Step 4: Simplify right side
    9,739.27x = 122,256,752.93
  5. Step 5: Solve for x
    x = 122,256,752.93/9,739.27
  6. Step 6: Final answer
    x = 12,552.97

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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.