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Finding the Fourth Proportional to 6,362.45, 9,540.64 and 2,852.49

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Solution

The fourth proportional to 6,362.45, 9,540.64 and 2,852.49 is: 4,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.45 : 9,540.64 = 2,852.49 : x
  2. Step 2: Convert to fraction form
    6,362.45/9,540.64 = 2,852.49/x
  3. Step 3: Cross multiply
    6,362.45x = 9,540.64 × 2,852.49
  4. Step 4: Simplify right side
    6,362.45x = 27,214,580.19
  5. Step 5: Solve for x
    x = 27,214,580.19/6,362.45
  6. Step 6: Final answer
    x = 4,277.37

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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.