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Finding the Fourth Proportional to 6,649.23, 9,974.32 and 2,698.59

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Solution

The fourth proportional to 6,649.23, 9,974.32 and 2,698.59 is: 4,048.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.23 : 9,974.32 = 2,698.59 : x
  2. Step 2: Convert to fraction form
    6,649.23/9,974.32 = 2,698.59/x
  3. Step 3: Cross multiply
    6,649.23x = 9,974.32 × 2,698.59
  4. Step 4: Simplify right side
    6,649.23x = 26,916,593.46
  5. Step 5: Solve for x
    x = 26,916,593.46/6,649.23
  6. Step 6: Final answer
    x = 4,048.08

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