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Finding the Fourth Proportional to 6,897.62, 10,348.05 and 1,967.33

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Solution

The fourth proportional to 6,897.62, 10,348.05 and 1,967.33 is: 2,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.62 : 10,348.05 = 1,967.33 : x
  2. Step 2: Convert to fraction form
    6,897.62/10,348.05 = 1,967.33/x
  3. Step 3: Cross multiply
    6,897.62x = 10,348.05 × 1,967.33
  4. Step 4: Simplify right side
    6,897.62x = 20,358,029.21
  5. Step 5: Solve for x
    x = 20,358,029.21/6,897.62
  6. Step 6: Final answer
    x = 2,951.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.