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Finding the Fourth Proportional to 6,696.18, 10,051.56 and 3,775.32

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Solution

The fourth proportional to 6,696.18, 10,051.56 and 3,775.32 is: 5,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696.18 : 10,051.56 = 3,775.32 : x
  2. Step 2: Convert to fraction form
    6,696.18/10,051.56 = 3,775.32/x
  3. Step 3: Cross multiply
    6,696.18x = 10,051.56 × 3,775.32
  4. Step 4: Simplify right side
    6,696.18x = 37,947,855.50
  5. Step 5: Solve for x
    x = 37,947,855.50/6,696.18
  6. Step 6: Final answer
    x = 5,667.09

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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.