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Finding the Fourth Proportional to 6,665.84, 9,999 and 3,369.68

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Solution

The fourth proportional to 6,665.84, 9,999 and 3,369.68 is: 5,054.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.84 : 9,999 = 3,369.68 : x
  2. Step 2: Convert to fraction form
    6,665.84/9,999 = 3,369.68/x
  3. Step 3: Cross multiply
    6,665.84x = 9,999 × 3,369.68
  4. Step 4: Simplify right side
    6,665.84x = 33,693,430.32
  5. Step 5: Solve for x
    x = 33,693,430.32/6,665.84
  6. Step 6: Final answer
    x = 5,054.64

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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.