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Finding the Fourth Proportional to 14,546.16, 20,073.88 and 7,922.16

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Solution

The fourth proportional to 14,546.16, 20,073.88 and 7,922.16 is: 10,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,546.16 : 20,073.88 = 7,922.16 : x
  2. Step 2: Convert to fraction form
    14,546.16/20,073.88 = 7,922.16/x
  3. Step 3: Cross multiply
    14,546.16x = 20,073.88 × 7,922.16
  4. Step 4: Simplify right side
    14,546.16x = 159,028,489.18
  5. Step 5: Solve for x
    x = 159,028,489.18/14,546.16
  6. Step 6: Final answer
    x = 10,932.68

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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.