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Finding the Fourth Proportional to 6,111.35, 9,167.06 and 2,215.65

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Solution

The fourth proportional to 6,111.35, 9,167.06 and 2,215.65 is: 3,323.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.35 : 9,167.06 = 2,215.65 : x
  2. Step 2: Convert to fraction form
    6,111.35/9,167.06 = 2,215.65/x
  3. Step 3: Cross multiply
    6,111.35x = 9,167.06 × 2,215.65
  4. Step 4: Simplify right side
    6,111.35x = 20,310,985.41
  5. Step 5: Solve for x
    x = 20,310,985.41/6,111.35
  6. Step 6: Final answer
    x = 3,323.49

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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.