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Finding the Fourth Proportional to 7,070.56, 9,757.17 and 3,926.54

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Solution

The fourth proportional to 7,070.56, 9,757.17 and 3,926.54 is: 5,418.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.56 : 9,757.17 = 3,926.54 : x
  2. Step 2: Convert to fraction form
    7,070.56/9,757.17 = 3,926.54/x
  3. Step 3: Cross multiply
    7,070.56x = 9,757.17 × 3,926.54
  4. Step 4: Simplify right side
    7,070.56x = 38,311,942.68
  5. Step 5: Solve for x
    x = 38,311,942.68/7,070.56
  6. Step 6: Final answer
    x = 5,418.52

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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.