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Finding the Fourth Proportional to 6,647.51, 9,974.01 and 3,361.57

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Solution

The fourth proportional to 6,647.51, 9,974.01 and 3,361.57 is: 5,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.51 : 9,974.01 = 3,361.57 : x
  2. Step 2: Convert to fraction form
    6,647.51/9,974.01 = 3,361.57/x
  3. Step 3: Cross multiply
    6,647.51x = 9,974.01 × 3,361.57
  4. Step 4: Simplify right side
    6,647.51x = 33,528,332.80
  5. Step 5: Solve for x
    x = 33,528,332.80/6,647.51
  6. Step 6: Final answer
    x = 5,043.74

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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.