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Finding the Fourth Proportional to 7,733, 11,609.06 and 7,324.76

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Solution

The fourth proportional to 7,733, 11,609.06 and 7,324.76 is: 10,996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733 : 11,609.06 = 7,324.76 : x
  2. Step 2: Convert to fraction form
    7,733/11,609.06 = 7,324.76/x
  3. Step 3: Cross multiply
    7,733x = 11,609.06 × 7,324.76
  4. Step 4: Simplify right side
    7,733x = 85,033,578.33
  5. Step 5: Solve for x
    x = 85,033,578.33/7,733
  6. Step 6: Final answer
    x = 10,996.20

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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.