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Finding the Fourth Proportional to 6,511.72, 9,731.83 and 4,760.41

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Solution

The fourth proportional to 6,511.72, 9,731.83 and 4,760.41 is: 7,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.72 : 9,731.83 = 4,760.41 : x
  2. Step 2: Convert to fraction form
    6,511.72/9,731.83 = 4,760.41/x
  3. Step 3: Cross multiply
    6,511.72x = 9,731.83 × 4,760.41
  4. Step 4: Simplify right side
    6,511.72x = 46,327,500.85
  5. Step 5: Solve for x
    x = 46,327,500.85/6,511.72
  6. Step 6: Final answer
    x = 7,114.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.