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Finding the Fourth Proportional to 14,546.70, 20,072.70 and 8,173.62

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Solution

The fourth proportional to 14,546.70, 20,072.70 and 8,173.62 is: 11,278.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.70 : 20,072.70 = 8,173.62 : x
  2. Step 2: Convert to fraction form
    14,546.70/20,072.70 = 8,173.62/x
  3. Step 3: Cross multiply
    14,546.70x = 20,072.70 × 8,173.62
  4. Step 4: Simplify right side
    14,546.70x = 164,066,622.17
  5. Step 5: Solve for x
    x = 164,066,622.17/14,546.70
  6. Step 6: Final answer
    x = 11,278.61

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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.