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Finding the Fourth Proportional to 6,334.46, 8,737.42 and 3,814.84

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Solution

The fourth proportional to 6,334.46, 8,737.42 and 3,814.84 is: 5,261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.46 : 8,737.42 = 3,814.84 : x
  2. Step 2: Convert to fraction form
    6,334.46/8,737.42 = 3,814.84/x
  3. Step 3: Cross multiply
    6,334.46x = 8,737.42 × 3,814.84
  4. Step 4: Simplify right side
    6,334.46x = 33,331,859.31
  5. Step 5: Solve for x
    x = 33,331,859.31/6,334.46
  6. Step 6: Final answer
    x = 5,261.99

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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.