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Finding the Fourth Proportional to 6,664.86, 9,993.42 and 2,281.14

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Solution

The fourth proportional to 6,664.86, 9,993.42 and 2,281.14 is: 3,420.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.86 : 9,993.42 = 2,281.14 : x
  2. Step 2: Convert to fraction form
    6,664.86/9,993.42 = 2,281.14/x
  3. Step 3: Cross multiply
    6,664.86x = 9,993.42 × 2,281.14
  4. Step 4: Simplify right side
    6,664.86x = 22,796,390.10
  5. Step 5: Solve for x
    x = 22,796,390.10/6,664.86
  6. Step 6: Final answer
    x = 3,420.39

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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.