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Finding the Fourth Proportional to 7,649.49, 11,467.40 and 3,698.54

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Solution

The fourth proportional to 7,649.49, 11,467.40 and 3,698.54 is: 5,544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,649.49 : 11,467.40 = 3,698.54 : x
  2. Step 2: Convert to fraction form
    7,649.49/11,467.40 = 3,698.54/x
  3. Step 3: Cross multiply
    7,649.49x = 11,467.40 × 3,698.54
  4. Step 4: Simplify right side
    7,649.49x = 42,412,582.92
  5. Step 5: Solve for x
    x = 42,412,582.92/7,649.49
  6. Step 6: Final answer
    x = 5,544.50

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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.