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Finding the Fourth Proportional to 6,674.85, 9,210.99 and 3,649.89

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Solution

The fourth proportional to 6,674.85, 9,210.99 and 3,649.89 is: 5,036.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,674.85 : 9,210.99 = 3,649.89 : x
  2. Step 2: Convert to fraction form
    6,674.85/9,210.99 = 3,649.89/x
  3. Step 3: Cross multiply
    6,674.85x = 9,210.99 × 3,649.89
  4. Step 4: Simplify right side
    6,674.85x = 33,619,089.68
  5. Step 5: Solve for x
    x = 33,619,089.68/6,674.85
  6. Step 6: Final answer
    x = 5,036.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.