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Finding the Fourth Proportional to 6,754.86, 10,132.47 and 1,824.57

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Solution

The fourth proportional to 6,754.86, 10,132.47 and 1,824.57 is: 2,736.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.86 : 10,132.47 = 1,824.57 : x
  2. Step 2: Convert to fraction form
    6,754.86/10,132.47 = 1,824.57/x
  3. Step 3: Cross multiply
    6,754.86x = 10,132.47 × 1,824.57
  4. Step 4: Simplify right side
    6,754.86x = 18,487,400.79
  5. Step 5: Solve for x
    x = 18,487,400.79/6,754.86
  6. Step 6: Final answer
    x = 2,736.90

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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.