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Finding the Fourth Proportional to 6,520.44, 9,779.76 and 2,137.50

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Solution

The fourth proportional to 6,520.44, 9,779.76 and 2,137.50 is: 3,205.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.44 : 9,779.76 = 2,137.50 : x
  2. Step 2: Convert to fraction form
    6,520.44/9,779.76 = 2,137.50/x
  3. Step 3: Cross multiply
    6,520.44x = 9,779.76 × 2,137.50
  4. Step 4: Simplify right side
    6,520.44x = 20,904,237
  5. Step 5: Solve for x
    x = 20,904,237/6,520.44
  6. Step 6: Final answer
    x = 3,205.95

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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.