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Finding the Fourth Proportional to 6,897.36, 10,346.04 and 1,967.10

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Solution

The fourth proportional to 6,897.36, 10,346.04 and 1,967.10 is: 2,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.36 : 10,346.04 = 1,967.10 : x
  2. Step 2: Convert to fraction form
    6,897.36/10,346.04 = 1,967.10/x
  3. Step 3: Cross multiply
    6,897.36x = 10,346.04 × 1,967.10
  4. Step 4: Simplify right side
    6,897.36x = 20,351,695.28
  5. Step 5: Solve for x
    x = 20,351,695.28/6,897.36
  6. Step 6: Final answer
    x = 2,950.65

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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.