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Finding the Fourth Proportional to 6,906.60, 10,362.06 and 4,136.40

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Solution

The fourth proportional to 6,906.60, 10,362.06 and 4,136.40 is: 6,205.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.60 : 10,362.06 = 4,136.40 : x
  2. Step 2: Convert to fraction form
    6,906.60/10,362.06 = 4,136.40/x
  3. Step 3: Cross multiply
    6,906.60x = 10,362.06 × 4,136.40
  4. Step 4: Simplify right side
    6,906.60x = 42,861,624.98
  5. Step 5: Solve for x
    x = 42,861,624.98/6,906.60
  6. Step 6: Final answer
    x = 6,205.89

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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.