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Finding the Fourth Proportional to 7,220.80, 10,769.60 and 7,096

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Solution

The fourth proportional to 7,220.80, 10,769.60 and 7,096 is: 10,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.80 : 10,769.60 = 7,096 : x
  2. Step 2: Convert to fraction form
    7,220.80/10,769.60 = 7,096/x
  3. Step 3: Cross multiply
    7,220.80x = 10,769.60 × 7,096
  4. Step 4: Simplify right side
    7,220.80x = 76,421,081.60
  5. Step 5: Solve for x
    x = 76,421,081.60/7,220.80
  6. Step 6: Final answer
    x = 10,583.46

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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.