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Finding the Fourth Proportional to 13,706.96, 20,543.87 and 6,676.44

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Solution

The fourth proportional to 13,706.96, 20,543.87 and 6,676.44 is: 10,006.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.96 : 20,543.87 = 6,676.44 : x
  2. Step 2: Convert to fraction form
    13,706.96/20,543.87 = 6,676.44/x
  3. Step 3: Cross multiply
    13,706.96x = 20,543.87 × 6,676.44
  4. Step 4: Simplify right side
    13,706.96x = 137,159,915.42
  5. Step 5: Solve for x
    x = 137,159,915.42/13,706.96
  6. Step 6: Final answer
    x = 10,006.59

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1.5x scale

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.