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Finding the Fourth Proportional to 6,520.50, 9,758.20 and 4,020.68

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Solution

The fourth proportional to 6,520.50, 9,758.20 and 4,020.68 is: 6,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.50 : 9,758.20 = 4,020.68 : x
  2. Step 2: Convert to fraction form
    6,520.50/9,758.20 = 4,020.68/x
  3. Step 3: Cross multiply
    6,520.50x = 9,758.20 × 4,020.68
  4. Step 4: Simplify right side
    6,520.50x = 39,234,599.58
  5. Step 5: Solve for x
    x = 39,234,599.58/6,520.50
  6. Step 6: Final answer
    x = 6,017.12

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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.