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Finding the Fourth Proportional to 7,571.98, 11,359.85 and 7,446.41

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Solution

The fourth proportional to 7,571.98, 11,359.85 and 7,446.41 is: 11,171.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.98 : 11,359.85 = 7,446.41 : x
  2. Step 2: Convert to fraction form
    7,571.98/11,359.85 = 7,446.41/x
  3. Step 3: Cross multiply
    7,571.98x = 11,359.85 × 7,446.41
  4. Step 4: Simplify right side
    7,571.98x = 84,590,119.25
  5. Step 5: Solve for x
    x = 84,590,119.25/7,571.98
  6. Step 6: Final answer
    x = 11,171.47

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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.