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Finding the Fourth Proportional to 19,796.97, 29,696.94 and 6,649.23

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Solution

The fourth proportional to 19,796.97, 29,696.94 and 6,649.23 is: 9,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,796.97 : 29,696.94 = 6,649.23 : x
  2. Step 2: Convert to fraction form
    19,796.97/29,696.94 = 6,649.23/x
  3. Step 3: Cross multiply
    19,796.97x = 29,696.94 × 6,649.23
  4. Step 4: Simplify right side
    19,796.97x = 197,461,784.36
  5. Step 5: Solve for x
    x = 197,461,784.36/19,796.97
  6. Step 6: Final answer
    x = 9,974.34

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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.