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Finding the Fourth Proportional to 12,041.60, 16,629.50 and 8,274.29

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Solution

The fourth proportional to 12,041.60, 16,629.50 and 8,274.29 is: 11,426.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,041.60 : 16,629.50 = 8,274.29 : x
  2. Step 2: Convert to fraction form
    12,041.60/16,629.50 = 8,274.29/x
  3. Step 3: Cross multiply
    12,041.60x = 16,629.50 × 8,274.29
  4. Step 4: Simplify right side
    12,041.60x = 137,597,243.09
  5. Step 5: Solve for x
    x = 137,597,243.09/12,041.60
  6. Step 6: Final answer
    x = 11,426.83

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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.