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Finding the Fourth Proportional to 6,897.78, 10,344.96 and 1,967.46

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Solution

The fourth proportional to 6,897.78, 10,344.96 and 1,967.46 is: 2,950.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.78 : 10,344.96 = 1,967.46 : x
  2. Step 2: Convert to fraction form
    6,897.78/10,344.96 = 1,967.46/x
  3. Step 3: Cross multiply
    6,897.78x = 10,344.96 × 1,967.46
  4. Step 4: Simplify right side
    6,897.78x = 20,353,295.00
  5. Step 5: Solve for x
    x = 20,353,295.00/6,897.78
  6. Step 6: Final answer
    x = 2,950.70

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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.