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Finding the Fourth Proportional to 14,546.41, 20,074.04 and 7,922.41

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Solution

The fourth proportional to 14,546.41, 20,074.04 and 7,922.41 is: 10,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.41 : 20,074.04 = 7,922.41 : x
  2. Step 2: Convert to fraction form
    14,546.41/20,074.04 = 7,922.41/x
  3. Step 3: Cross multiply
    14,546.41x = 20,074.04 × 7,922.41
  4. Step 4: Simplify right side
    14,546.41x = 159,034,775.24
  5. Step 5: Solve for x
    x = 159,034,775.24/14,546.41
  6. Step 6: Final answer
    x = 10,932.92

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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.