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Finding the Fourth Proportional to 7,347.70, 11,023.41 and 3,401.80

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Solution

The fourth proportional to 7,347.70, 11,023.41 and 3,401.80 is: 5,103.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347.70 : 11,023.41 = 3,401.80 : x
  2. Step 2: Convert to fraction form
    7,347.70/11,023.41 = 3,401.80/x
  3. Step 3: Cross multiply
    7,347.70x = 11,023.41 × 3,401.80
  4. Step 4: Simplify right side
    7,347.70x = 37,499,449.92
  5. Step 5: Solve for x
    x = 37,499,449.92/7,347.70
  6. Step 6: Final answer
    x = 5,103.56

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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.