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Finding the Fourth Proportional to 5,626.14, 7,826.10 and 5,519.22

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Solution

The fourth proportional to 5,626.14, 7,826.10 and 5,519.22 is: 7,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.14 : 7,826.10 = 5,519.22 : x
  2. Step 2: Convert to fraction form
    5,626.14/7,826.10 = 5,519.22/x
  3. Step 3: Cross multiply
    5,626.14x = 7,826.10 × 5,519.22
  4. Step 4: Simplify right side
    5,626.14x = 43,193,967.64
  5. Step 5: Solve for x
    x = 43,193,967.64/5,626.14
  6. Step 6: Final answer
    x = 7,677.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.