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Finding the Fourth Proportional to 7,846.31, 11,768.43 and 3,462.74

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Solution

The fourth proportional to 7,846.31, 11,768.43 and 3,462.74 is: 5,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846.31 : 11,768.43 = 3,462.74 : x
  2. Step 2: Convert to fraction form
    7,846.31/11,768.43 = 3,462.74/x
  3. Step 3: Cross multiply
    7,846.31x = 11,768.43 × 3,462.74
  4. Step 4: Simplify right side
    7,846.31x = 40,751,011.57
  5. Step 5: Solve for x
    x = 40,751,011.57/7,846.31
  6. Step 6: Final answer
    x = 5,193.66

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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.