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Finding the Fourth Proportional to 6,885.99, 10,326.33 and 2,205

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Solution

The fourth proportional to 6,885.99, 10,326.33 and 2,205 is: 3,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.99 : 10,326.33 = 2,205 : x
  2. Step 2: Convert to fraction form
    6,885.99/10,326.33 = 2,205/x
  3. Step 3: Cross multiply
    6,885.99x = 10,326.33 × 2,205
  4. Step 4: Simplify right side
    6,885.99x = 22,769,557.65
  5. Step 5: Solve for x
    x = 22,769,557.65/6,885.99
  6. Step 6: Final answer
    x = 3,306.65

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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.