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Finding the Fourth Proportional to 13,729.73, 20,597.74 and 4,964.64

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Solution

The fourth proportional to 13,729.73, 20,597.74 and 4,964.64 is: 7,448.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,729.73 : 20,597.74 = 4,964.64 : x
  2. Step 2: Convert to fraction form
    13,729.73/20,597.74 = 4,964.64/x
  3. Step 3: Cross multiply
    13,729.73x = 20,597.74 × 4,964.64
  4. Step 4: Simplify right side
    13,729.73x = 102,260,418.05
  5. Step 5: Solve for x
    x = 102,260,418.05/13,729.73
  6. Step 6: Final answer
    x = 7,448.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.