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Finding the Fourth Proportional to 6,021, 9,027.90 and 2,506.77

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Solution

The fourth proportional to 6,021, 9,027.90 and 2,506.77 is: 3,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,021 : 9,027.90 = 2,506.77 : x
  2. Step 2: Convert to fraction form
    6,021/9,027.90 = 2,506.77/x
  3. Step 3: Cross multiply
    6,021x = 9,027.90 × 2,506.77
  4. Step 4: Simplify right side
    6,021x = 22,630,868.88
  5. Step 5: Solve for x
    x = 22,630,868.88/6,021
  6. Step 6: Final answer
    x = 3,758.66

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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.