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Finding the Fourth Proportional to 7,967.10, 11,949.09 and 7,571.98

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Solution

The fourth proportional to 7,967.10, 11,949.09 and 7,571.98 is: 11,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.10 : 11,949.09 = 7,571.98 : x
  2. Step 2: Convert to fraction form
    7,967.10/11,949.09 = 7,571.98/x
  3. Step 3: Cross multiply
    7,967.10x = 11,949.09 × 7,571.98
  4. Step 4: Simplify right side
    7,967.10x = 90,478,270.50
  5. Step 5: Solve for x
    x = 90,478,270.50/7,967.10
  6. Step 6: Final answer
    x = 11,356.49

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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.