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Finding the Fourth Proportional to 6,059.49, 8,361.42 and 3,406.85

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Solution

The fourth proportional to 6,059.49, 8,361.42 and 3,406.85 is: 4,701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.49 : 8,361.42 = 3,406.85 : x
  2. Step 2: Convert to fraction form
    6,059.49/8,361.42 = 3,406.85/x
  3. Step 3: Cross multiply
    6,059.49x = 8,361.42 × 3,406.85
  4. Step 4: Simplify right side
    6,059.49x = 28,486,061.92
  5. Step 5: Solve for x
    x = 28,486,061.92/6,059.49
  6. Step 6: Final answer
    x = 4,701.07

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Half scale
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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.