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Finding the Fourth Proportional to 6,815.28, 9,405.76 and 4,164.48

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Solution

The fourth proportional to 6,815.28, 9,405.76 and 4,164.48 is: 5,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.28 : 9,405.76 = 4,164.48 : x
  2. Step 2: Convert to fraction form
    6,815.28/9,405.76 = 4,164.48/x
  3. Step 3: Cross multiply
    6,815.28x = 9,405.76 × 4,164.48
  4. Step 4: Simplify right side
    6,815.28x = 39,170,099.40
  5. Step 5: Solve for x
    x = 39,170,099.40/6,815.28
  6. Step 6: Final answer
    x = 5,747.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.