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Finding the Fourth Proportional to 7,976.43, 10,996.06 and 5,611.23

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Solution

The fourth proportional to 7,976.43, 10,996.06 and 5,611.23 is: 7,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.43 : 10,996.06 = 5,611.23 : x
  2. Step 2: Convert to fraction form
    7,976.43/10,996.06 = 5,611.23/x
  3. Step 3: Cross multiply
    7,976.43x = 10,996.06 × 5,611.23
  4. Step 4: Simplify right side
    7,976.43x = 61,701,421.75
  5. Step 5: Solve for x
    x = 61,701,421.75/7,976.43
  6. Step 6: Final answer
    x = 7,735.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.