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Finding the Fourth Proportional to 6,696.33, 10,042.56 and 2,253.50

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Solution

The fourth proportional to 6,696.33, 10,042.56 and 2,253.50 is: 3,379.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.33 : 10,042.56 = 2,253.50 : x
  2. Step 2: Convert to fraction form
    6,696.33/10,042.56 = 2,253.50/x
  3. Step 3: Cross multiply
    6,696.33x = 10,042.56 × 2,253.50
  4. Step 4: Simplify right side
    6,696.33x = 22,630,946.56
  5. Step 5: Solve for x
    x = 22,630,946.56/6,696.33
  6. Step 6: Final answer
    x = 3,379.60

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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.