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Finding the Fourth Proportional to 7,906.70, 11,861.67 and 4,618.10

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Solution

The fourth proportional to 7,906.70, 11,861.67 and 4,618.10 is: 6,928.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.70 : 11,861.67 = 4,618.10 : x
  2. Step 2: Convert to fraction form
    7,906.70/11,861.67 = 4,618.10/x
  3. Step 3: Cross multiply
    7,906.70x = 11,861.67 × 4,618.10
  4. Step 4: Simplify right side
    7,906.70x = 54,778,378.23
  5. Step 5: Solve for x
    x = 54,778,378.23/7,906.70
  6. Step 6: Final answer
    x = 6,928.10

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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.