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Finding the Fourth Proportional to 6,649.14, 9,973.79 and 3,362.37

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Solution

The fourth proportional to 6,649.14, 9,973.79 and 3,362.37 is: 5,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.14 : 9,973.79 = 3,362.37 : x
  2. Step 2: Convert to fraction form
    6,649.14/9,973.79 = 3,362.37/x
  3. Step 3: Cross multiply
    6,649.14x = 9,973.79 × 3,362.37
  4. Step 4: Simplify right side
    6,649.14x = 33,535,572.28
  5. Step 5: Solve for x
    x = 33,535,572.28/6,649.14
  6. Step 6: Final answer
    x = 5,043.60

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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.