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Finding the Fourth Proportional to 6,897.94, 10,345.32 and 1,967.46

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Solution

The fourth proportional to 6,897.94, 10,345.32 and 1,967.46 is: 2,950.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.94 : 10,345.32 = 1,967.46 : x
  2. Step 2: Convert to fraction form
    6,897.94/10,345.32 = 1,967.46/x
  3. Step 3: Cross multiply
    6,897.94x = 10,345.32 × 1,967.46
  4. Step 4: Simplify right side
    6,897.94x = 20,354,003.29
  5. Step 5: Solve for x
    x = 20,354,003.29/6,897.94
  6. Step 6: Final answer
    x = 2,950.74

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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.