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Finding the Fourth Proportional to 7,106.56, 10,659.74 and 3,208.22

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Solution

The fourth proportional to 7,106.56, 10,659.74 and 3,208.22 is: 4,812.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.56 : 10,659.74 = 3,208.22 : x
  2. Step 2: Convert to fraction form
    7,106.56/10,659.74 = 3,208.22/x
  3. Step 3: Cross multiply
    7,106.56x = 10,659.74 × 3,208.22
  4. Step 4: Simplify right side
    7,106.56x = 34,198,791.06
  5. Step 5: Solve for x
    x = 34,198,791.06/7,106.56
  6. Step 6: Final answer
    x = 4,812.28

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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.