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Finding the Fourth Proportional to 6,699.70, 10,046.58 and 3,579.16

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Solution

The fourth proportional to 6,699.70, 10,046.58 and 3,579.16 is: 5,367.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,699.70 : 10,046.58 = 3,579.16 : x
  2. Step 2: Convert to fraction form
    6,699.70/10,046.58 = 3,579.16/x
  3. Step 3: Cross multiply
    6,699.70x = 10,046.58 × 3,579.16
  4. Step 4: Simplify right side
    6,699.70x = 35,958,317.27
  5. Step 5: Solve for x
    x = 35,958,317.27/6,699.70
  6. Step 6: Final answer
    x = 5,367.15

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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.