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Finding the Fourth Proportional to 6,733.60, 10,096.40 and 4,138.40

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Solution

The fourth proportional to 6,733.60, 10,096.40 and 4,138.40 is: 6,205.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.60 : 10,096.40 = 4,138.40 : x
  2. Step 2: Convert to fraction form
    6,733.60/10,096.40 = 4,138.40/x
  3. Step 3: Cross multiply
    6,733.60x = 10,096.40 × 4,138.40
  4. Step 4: Simplify right side
    6,733.60x = 41,782,941.76
  5. Step 5: Solve for x
    x = 41,782,941.76/6,733.60
  6. Step 6: Final answer
    x = 6,205.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.