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Finding the Fourth Proportional to 6,664.84, 9,997.50 and 3,368.68

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Solution

The fourth proportional to 6,664.84, 9,997.50 and 3,368.68 is: 5,053.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,664.84 : 9,997.50 = 3,368.68 : x
  2. Step 2: Convert to fraction form
    6,664.84/9,997.50 = 3,368.68/x
  3. Step 3: Cross multiply
    6,664.84x = 9,997.50 × 3,368.68
  4. Step 4: Simplify right side
    6,664.84x = 33,678,378.30
  5. Step 5: Solve for x
    x = 33,678,378.30/6,664.84
  6. Step 6: Final answer
    x = 5,053.14

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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.