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Finding the Fourth Proportional to 7,793.74, 11,640.83 and 7,052.23

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Solution

The fourth proportional to 7,793.74, 11,640.83 and 7,052.23 is: 10,533.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.74 : 11,640.83 = 7,052.23 : x
  2. Step 2: Convert to fraction form
    7,793.74/11,640.83 = 7,052.23/x
  3. Step 3: Cross multiply
    7,793.74x = 11,640.83 × 7,052.23
  4. Step 4: Simplify right side
    7,793.74x = 82,093,810.55
  5. Step 5: Solve for x
    x = 82,093,810.55/7,793.74
  6. Step 6: Final answer
    x = 10,533.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.