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Finding the Fourth Proportional to 6,696.81, 10,045.71 and 2,254.49

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Solution

The fourth proportional to 6,696.81, 10,045.71 and 2,254.49 is: 3,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.81 : 10,045.71 = 2,254.49 : x
  2. Step 2: Convert to fraction form
    6,696.81/10,045.71 = 2,254.49/x
  3. Step 3: Cross multiply
    6,696.81x = 10,045.71 × 2,254.49
  4. Step 4: Simplify right side
    6,696.81x = 22,647,902.51
  5. Step 5: Solve for x
    x = 22,647,902.51/6,696.81
  6. Step 6: Final answer
    x = 3,381.89

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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.