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Finding the Fourth Proportional to 6,271.92, 9,407.93 and 5,100.56

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Solution

The fourth proportional to 6,271.92, 9,407.93 and 5,100.56 is: 7,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.92 : 9,407.93 = 5,100.56 : x
  2. Step 2: Convert to fraction form
    6,271.92/9,407.93 = 5,100.56/x
  3. Step 3: Cross multiply
    6,271.92x = 9,407.93 × 5,100.56
  4. Step 4: Simplify right side
    6,271.92x = 47,985,711.44
  5. Step 5: Solve for x
    x = 47,985,711.44/6,271.92
  6. Step 6: Final answer
    x = 7,650.88

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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.