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Finding the Fourth Proportional to 6,649.39, 9,974.06 and 1,969.44

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Solution

The fourth proportional to 6,649.39, 9,974.06 and 1,969.44 is: 2,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.39 : 9,974.06 = 1,969.44 : x
  2. Step 2: Convert to fraction form
    6,649.39/9,974.06 = 1,969.44/x
  3. Step 3: Cross multiply
    6,649.39x = 9,974.06 × 1,969.44
  4. Step 4: Simplify right side
    6,649.39x = 19,643,312.73
  5. Step 5: Solve for x
    x = 19,643,312.73/6,649.39
  6. Step 6: Final answer
    x = 2,954.15

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Similar ratio
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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.