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Finding the Fourth Proportional to 11,405.67, 15,740.09 and 6,369.67

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Solution

The fourth proportional to 11,405.67, 15,740.09 and 6,369.67 is: 8,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.67 : 15,740.09 = 6,369.67 : x
  2. Step 2: Convert to fraction form
    11,405.67/15,740.09 = 6,369.67/x
  3. Step 3: Cross multiply
    11,405.67x = 15,740.09 × 6,369.67
  4. Step 4: Simplify right side
    11,405.67x = 100,259,179.07
  5. Step 5: Solve for x
    x = 100,259,179.07/11,405.67
  6. Step 6: Final answer
    x = 8,790.29

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1.5x scale

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.