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Finding the Fourth Proportional to 14,546.91, 20,074.73 and 7,922.91

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Solution

The fourth proportional to 14,546.91, 20,074.73 and 7,922.91 is: 10,933.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.91 : 20,074.73 = 7,922.91 : x
  2. Step 2: Convert to fraction form
    14,546.91/20,074.73 = 7,922.91/x
  3. Step 3: Cross multiply
    14,546.91x = 20,074.73 × 7,922.91
  4. Step 4: Simplify right side
    14,546.91x = 159,050,239.45
  5. Step 5: Solve for x
    x = 159,050,239.45/14,546.91
  6. Step 6: Final answer
    x = 10,933.61

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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.