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Finding the Fourth Proportional to 6,334.35, 8,741.23 and 3,462.96

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Solution

The fourth proportional to 6,334.35, 8,741.23 and 3,462.96 is: 4,778.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.35 : 8,741.23 = 3,462.96 : x
  2. Step 2: Convert to fraction form
    6,334.35/8,741.23 = 3,462.96/x
  3. Step 3: Cross multiply
    6,334.35x = 8,741.23 × 3,462.96
  4. Step 4: Simplify right side
    6,334.35x = 30,270,521.18
  5. Step 5: Solve for x
    x = 30,270,521.18/6,334.35
  6. Step 6: Final answer
    x = 4,778.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.