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Finding the Fourth Proportional to 6,900.84, 10,348.25 and 1,969.38

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Solution

The fourth proportional to 6,900.84, 10,348.25 and 1,969.38 is: 2,953.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.84 : 10,348.25 = 1,969.38 : x
  2. Step 2: Convert to fraction form
    6,900.84/10,348.25 = 1,969.38/x
  3. Step 3: Cross multiply
    6,900.84x = 10,348.25 × 1,969.38
  4. Step 4: Simplify right side
    6,900.84x = 20,379,626.74
  5. Step 5: Solve for x
    x = 20,379,626.74/6,900.84
  6. Step 6: Final answer
    x = 2,953.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.