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Finding the Fourth Proportional to 6,897.51, 10,346.60 and 1,967.49

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Solution

The fourth proportional to 6,897.51, 10,346.60 and 1,967.49 is: 2,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.51 : 10,346.60 = 1,967.49 : x
  2. Step 2: Convert to fraction form
    6,897.51/10,346.60 = 1,967.49/x
  3. Step 3: Cross multiply
    6,897.51x = 10,346.60 × 1,967.49
  4. Step 4: Simplify right side
    6,897.51x = 20,356,822.20
  5. Step 5: Solve for x
    x = 20,356,822.20/6,897.51
  6. Step 6: Final answer
    x = 2,951.33

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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.