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Finding the Fourth Proportional to 6,059.52, 8,361.84 and 3,407.16

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Solution

The fourth proportional to 6,059.52, 8,361.84 and 3,407.16 is: 4,701.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.52 : 8,361.84 = 3,407.16 : x
  2. Step 2: Convert to fraction form
    6,059.52/8,361.84 = 3,407.16/x
  3. Step 3: Cross multiply
    6,059.52x = 8,361.84 × 3,407.16
  4. Step 4: Simplify right side
    6,059.52x = 28,490,126.77
  5. Step 5: Solve for x
    x = 28,490,126.77/6,059.52
  6. Step 6: Final answer
    x = 4,701.71

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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.