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Finding the Fourth Proportional to 9,738.92, 14,612.06 and 5,846.04

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Solution

The fourth proportional to 9,738.92, 14,612.06 and 5,846.04 is: 8,771.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.92 : 14,612.06 = 5,846.04 : x
  2. Step 2: Convert to fraction form
    9,738.92/14,612.06 = 5,846.04/x
  3. Step 3: Cross multiply
    9,738.92x = 14,612.06 × 5,846.04
  4. Step 4: Simplify right side
    9,738.92x = 85,422,687.24
  5. Step 5: Solve for x
    x = 85,422,687.24/9,738.92
  6. Step 6: Final answer
    x = 8,771.27

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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.