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Finding the Fourth Proportional to 20,797.98, 31,196.94 and 5,003.00

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Solution

The fourth proportional to 20,797.98, 31,196.94 and 5,003.00 is: 7,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,797.98 : 31,196.94 = 5,003.00 : x
  2. Step 2: Convert to fraction form
    20,797.98/31,196.94 = 5,003.00/x
  3. Step 3: Cross multiply
    20,797.98x = 31,196.94 × 5,003.00
  4. Step 4: Simplify right side
    20,797.98x = 156,078,109.82
  5. Step 5: Solve for x
    x = 156,078,109.82/20,797.98
  6. Step 6: Final answer
    x = 7,504.49

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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.