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Finding the Fourth Proportional to 10,999.99, 15,179.77 and 5,964.22

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Solution

The fourth proportional to 10,999.99, 15,179.77 and 5,964.22 is: 8,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.99 : 15,179.77 = 5,964.22 : x
  2. Step 2: Convert to fraction form
    10,999.99/15,179.77 = 5,964.22/x
  3. Step 3: Cross multiply
    10,999.99x = 15,179.77 × 5,964.22
  4. Step 4: Simplify right side
    10,999.99x = 90,535,487.83
  5. Step 5: Solve for x
    x = 90,535,487.83/10,999.99
  6. Step 6: Final answer
    x = 8,230.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.