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Finding the Fourth Proportional to 6,293.50, 9,440.28 and 1,676.50

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Solution

The fourth proportional to 6,293.50, 9,440.28 and 1,676.50 is: 2,514.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.50 : 9,440.28 = 1,676.50 : x
  2. Step 2: Convert to fraction form
    6,293.50/9,440.28 = 1,676.50/x
  3. Step 3: Cross multiply
    6,293.50x = 9,440.28 × 1,676.50
  4. Step 4: Simplify right side
    6,293.50x = 15,826,629.42
  5. Step 5: Solve for x
    x = 15,826,629.42/6,293.50
  6. Step 6: Final answer
    x = 2,514.76

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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.