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Finding the Fourth Proportional to 7,470.72, 11,197.44 and 3,964.14

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Solution

The fourth proportional to 7,470.72, 11,197.44 and 3,964.14 is: 5,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,470.72 : 11,197.44 = 3,964.14 : x
  2. Step 2: Convert to fraction form
    7,470.72/11,197.44 = 3,964.14/x
  3. Step 3: Cross multiply
    7,470.72x = 11,197.44 × 3,964.14
  4. Step 4: Simplify right side
    7,470.72x = 44,388,219.80
  5. Step 5: Solve for x
    x = 44,388,219.80/7,470.72
  6. Step 6: Final answer
    x = 5,941.63

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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.