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Finding the Fourth Proportional to 6,901.18, 10,348.65 and 1,969.65

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Solution

The fourth proportional to 6,901.18, 10,348.65 and 1,969.65 is: 2,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.18 : 10,348.65 = 1,969.65 : x
  2. Step 2: Convert to fraction form
    6,901.18/10,348.65 = 1,969.65/x
  3. Step 3: Cross multiply
    6,901.18x = 10,348.65 × 1,969.65
  4. Step 4: Simplify right side
    6,901.18x = 20,383,218.47
  5. Step 5: Solve for x
    x = 20,383,218.47/6,901.18
  6. Step 6: Final answer
    x = 2,953.58

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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.