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Finding the Fourth Proportional to 11,206.96, 15,463.92 and 6,730

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Solution

The fourth proportional to 11,206.96, 15,463.92 and 6,730 is: 9,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.96 : 15,463.92 = 6,730 : x
  2. Step 2: Convert to fraction form
    11,206.96/15,463.92 = 6,730/x
  3. Step 3: Cross multiply
    11,206.96x = 15,463.92 × 6,730
  4. Step 4: Simplify right side
    11,206.96x = 104,072,181.60
  5. Step 5: Solve for x
    x = 104,072,181.60/11,206.96
  6. Step 6: Final answer
    x = 9,286.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.