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Finding the Fourth Proportional to 7,793.53, 11,683.06 and 3,112.40

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Solution

The fourth proportional to 7,793.53, 11,683.06 and 3,112.40 is: 4,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.53 : 11,683.06 = 3,112.40 : x
  2. Step 2: Convert to fraction form
    7,793.53/11,683.06 = 3,112.40/x
  3. Step 3: Cross multiply
    7,793.53x = 11,683.06 × 3,112.40
  4. Step 4: Simplify right side
    7,793.53x = 36,362,355.94
  5. Step 5: Solve for x
    x = 36,362,355.94/7,793.53
  6. Step 6: Final answer
    x = 4,665.71

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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.