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Finding the Fourth Proportional to 11,246, 16,857.48 and 4,676

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Solution

The fourth proportional to 11,246, 16,857.48 and 4,676 is: 7,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246 : 16,857.48 = 4,676 : x
  2. Step 2: Convert to fraction form
    11,246/16,857.48 = 4,676/x
  3. Step 3: Cross multiply
    11,246x = 16,857.48 × 4,676
  4. Step 4: Simplify right side
    11,246x = 78,825,576.48
  5. Step 5: Solve for x
    x = 78,825,576.48/11,246
  6. Step 6: Final answer
    x = 7,009.21

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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.