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Finding the Fourth Proportional to 7,067.65, 10,603.14 and 2,137.33

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Solution

The fourth proportional to 7,067.65, 10,603.14 and 2,137.33 is: 3,206.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,067.65 : 10,603.14 = 2,137.33 : x
  2. Step 2: Convert to fraction form
    7,067.65/10,603.14 = 2,137.33/x
  3. Step 3: Cross multiply
    7,067.65x = 10,603.14 × 2,137.33
  4. Step 4: Simplify right side
    7,067.65x = 22,662,409.22
  5. Step 5: Solve for x
    x = 22,662,409.22/7,067.65
  6. Step 6: Final answer
    x = 3,206.50

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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.