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Finding the Fourth Proportional to 11,343.54, 16,997.99 and 4,766.13

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Solution

The fourth proportional to 11,343.54, 16,997.99 and 4,766.13 is: 7,141.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,343.54 : 16,997.99 = 4,766.13 : x
  2. Step 2: Convert to fraction form
    11,343.54/16,997.99 = 4,766.13/x
  3. Step 3: Cross multiply
    11,343.54x = 16,997.99 × 4,766.13
  4. Step 4: Simplify right side
    11,343.54x = 81,014,606.25
  5. Step 5: Solve for x
    x = 81,014,606.25/11,343.54
  6. Step 6: Final answer
    x = 7,141.92

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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.