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Finding the Fourth Proportional to 7,013, 10,523.10 and 3,550.34

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Solution

The fourth proportional to 7,013, 10,523.10 and 3,550.34 is: 5,327.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013 : 10,523.10 = 3,550.34 : x
  2. Step 2: Convert to fraction form
    7,013/10,523.10 = 3,550.34/x
  3. Step 3: Cross multiply
    7,013x = 10,523.10 × 3,550.34
  4. Step 4: Simplify right side
    7,013x = 37,360,582.85
  5. Step 5: Solve for x
    x = 37,360,582.85/7,013
  6. Step 6: Final answer
    x = 5,327.33

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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.