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Finding the Fourth Proportional to 14,446.46, 19,939.74 and 8,162.48

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Solution

The fourth proportional to 14,446.46, 19,939.74 and 8,162.48 is: 11,266.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.46 : 19,939.74 = 8,162.48 : x
  2. Step 2: Convert to fraction form
    14,446.46/19,939.74 = 8,162.48/x
  3. Step 3: Cross multiply
    14,446.46x = 19,939.74 × 8,162.48
  4. Step 4: Simplify right side
    14,446.46x = 162,757,728.96
  5. Step 5: Solve for x
    x = 162,757,728.96/14,446.46
  6. Step 6: Final answer
    x = 11,266.27

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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.