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Finding the Fourth Proportional to 25,170, 37,755.12 and 6,702

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Solution

The fourth proportional to 25,170, 37,755.12 and 6,702 is: 10,053.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,170 : 37,755.12 = 6,702 : x
  2. Step 2: Convert to fraction form
    25,170/37,755.12 = 6,702/x
  3. Step 3: Cross multiply
    25,170x = 37,755.12 × 6,702
  4. Step 4: Simplify right side
    25,170x = 253,034,814.24
  5. Step 5: Solve for x
    x = 253,034,814.24/25,170
  6. Step 6: Final answer
    x = 10,053.03

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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.