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Finding the Fourth Proportional to 10,993.34, 15,169.82 and 6,516.34

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Solution

The fourth proportional to 10,993.34, 15,169.82 and 6,516.34 is: 8,991.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,993.34 : 15,169.82 = 6,516.34 : x
  2. Step 2: Convert to fraction form
    10,993.34/15,169.82 = 6,516.34/x
  3. Step 3: Cross multiply
    10,993.34x = 15,169.82 × 6,516.34
  4. Step 4: Simplify right side
    10,993.34x = 98,851,704.86
  5. Step 5: Solve for x
    x = 98,851,704.86/10,993.34
  6. Step 6: Final answer
    x = 8,991.96

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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.