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Finding the Fourth Proportional to 22,064.54, 30,449.27 and 11,993

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Solution

The fourth proportional to 22,064.54, 30,449.27 and 11,993 is: 16,550.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,064.54 : 30,449.27 = 11,993 : x
  2. Step 2: Convert to fraction form
    22,064.54/30,449.27 = 11,993/x
  3. Step 3: Cross multiply
    22,064.54x = 30,449.27 × 11,993
  4. Step 4: Simplify right side
    22,064.54x = 365,178,035.15
  5. Step 5: Solve for x
    x = 365,178,035.15/22,064.54
  6. Step 6: Final answer
    x = 16,550.45

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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.