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Finding the Fourth Proportional to 11,230, 16,833.48 and 4,660

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Solution

The fourth proportional to 11,230, 16,833.48 and 4,660 is: 6,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 16,833.48 = 4,660 : x
  2. Step 2: Convert to fraction form
    11,230/16,833.48 = 4,660/x
  3. Step 3: Cross multiply
    11,230x = 16,833.48 × 4,660
  4. Step 4: Simplify right side
    11,230x = 78,444,016.80
  5. Step 5: Solve for x
    x = 78,444,016.80/11,230
  6. Step 6: Final answer
    x = 6,985.22

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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.