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Finding the Fourth Proportional to 6,059.06, 8,361.08 and 3,406.86

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Solution

The fourth proportional to 6,059.06, 8,361.08 and 3,406.86 is: 4,701.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.06 : 8,361.08 = 3,406.86 : x
  2. Step 2: Convert to fraction form
    6,059.06/8,361.08 = 3,406.86/x
  3. Step 3: Cross multiply
    6,059.06x = 8,361.08 × 3,406.86
  4. Step 4: Simplify right side
    6,059.06x = 28,485,029.01
  5. Step 5: Solve for x
    x = 28,485,029.01/6,059.06
  6. Step 6: Final answer
    x = 4,701.23

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Half scale
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Double 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.