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Finding the Fourth Proportional to 8,205, 12,307.74 and 2,049

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Solution

The fourth proportional to 8,205, 12,307.74 and 2,049 is: 3,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205 : 12,307.74 = 2,049 : x
  2. Step 2: Convert to fraction form
    8,205/12,307.74 = 2,049/x
  3. Step 3: Cross multiply
    8,205x = 12,307.74 × 2,049
  4. Step 4: Simplify right side
    8,205x = 25,218,559.26
  5. Step 5: Solve for x
    x = 25,218,559.26/8,205
  6. Step 6: Final answer
    x = 3,073.56

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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.