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Finding the Fourth Proportional to 27,164.68, 40,734.84 and 9,629.80

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Solution

The fourth proportional to 27,164.68, 40,734.84 and 9,629.80 is: 14,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.68 : 40,734.84 = 9,629.80 : x
  2. Step 2: Convert to fraction form
    27,164.68/40,734.84 = 9,629.80/x
  3. Step 3: Cross multiply
    27,164.68x = 40,734.84 × 9,629.80
  4. Step 4: Simplify right side
    27,164.68x = 392,268,362.23
  5. Step 5: Solve for x
    x = 392,268,362.23/27,164.68
  6. Step 6: Final answer
    x = 14,440.38

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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.