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Finding the Fourth Proportional to 6,059.64, 8,361.72 and 3,407.97

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Solution

The fourth proportional to 6,059.64, 8,361.72 and 3,407.97 is: 4,702.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.64 : 8,361.72 = 3,407.97 : x
  2. Step 2: Convert to fraction form
    6,059.64/8,361.72 = 3,407.97/x
  3. Step 3: Cross multiply
    6,059.64x = 8,361.72 × 3,407.97
  4. Step 4: Simplify right side
    6,059.64x = 28,496,490.91
  5. Step 5: Solve for x
    x = 28,496,490.91/6,059.64
  6. Step 6: Final answer
    x = 4,702.67

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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.