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Finding the Fourth Proportional to 6,343.37, 9,512.06 and 1,899.33

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Solution

The fourth proportional to 6,343.37, 9,512.06 and 1,899.33 is: 2,848.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.37 : 9,512.06 = 1,899.33 : x
  2. Step 2: Convert to fraction form
    6,343.37/9,512.06 = 1,899.33/x
  3. Step 3: Cross multiply
    6,343.37x = 9,512.06 × 1,899.33
  4. Step 4: Simplify right side
    6,343.37x = 18,066,483.86
  5. Step 5: Solve for x
    x = 18,066,483.86/6,343.37
  6. Step 6: Final answer
    x = 2,848.09

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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.