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Finding the Fourth Proportional to 9,571.50, 14,359.41 and 2,997

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Solution

The fourth proportional to 9,571.50, 14,359.41 and 2,997 is: 4,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.50 : 14,359.41 = 2,997 : x
  2. Step 2: Convert to fraction form
    9,571.50/14,359.41 = 2,997/x
  3. Step 3: Cross multiply
    9,571.50x = 14,359.41 × 2,997
  4. Step 4: Simplify right side
    9,571.50x = 43,035,151.77
  5. Step 5: Solve for x
    x = 43,035,151.77/9,571.50
  6. Step 6: Final answer
    x = 4,496.18

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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.