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Finding the Fourth Proportional to 6,364.45, 9,548.03 and 1,922.28

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Solution

The fourth proportional to 6,364.45, 9,548.03 and 1,922.28 is: 2,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.45 : 9,548.03 = 1,922.28 : x
  2. Step 2: Convert to fraction form
    6,364.45/9,548.03 = 1,922.28/x
  3. Step 3: Cross multiply
    6,364.45x = 9,548.03 × 1,922.28
  4. Step 4: Simplify right side
    6,364.45x = 18,353,987.11
  5. Step 5: Solve for x
    x = 18,353,987.11/6,364.45
  6. Step 6: Final answer
    x = 2,883.83

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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.