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Finding the Fourth Proportional to 6,570.96, 9,851.21 and 3,794.49

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Solution

The fourth proportional to 6,570.96, 9,851.21 and 3,794.49 is: 5,688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.96 : 9,851.21 = 3,794.49 : x
  2. Step 2: Convert to fraction form
    6,570.96/9,851.21 = 3,794.49/x
  3. Step 3: Cross multiply
    6,570.96x = 9,851.21 × 3,794.49
  4. Step 4: Simplify right side
    6,570.96x = 37,380,298.86
  5. Step 5: Solve for x
    x = 37,380,298.86/6,570.96
  6. Step 6: Final answer
    x = 5,688.71

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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.