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Finding the Fourth Proportional to 13,755.69, 20,604.96 and 6,714.45

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Solution

The fourth proportional to 13,755.69, 20,604.96 and 6,714.45 is: 10,057.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.69 : 20,604.96 = 6,714.45 : x
  2. Step 2: Convert to fraction form
    13,755.69/20,604.96 = 6,714.45/x
  3. Step 3: Cross multiply
    13,755.69x = 20,604.96 × 6,714.45
  4. Step 4: Simplify right side
    13,755.69x = 138,350,973.67
  5. Step 5: Solve for x
    x = 138,350,973.67/13,755.69
  6. Step 6: Final answer
    x = 10,057.73

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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.