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Finding the Fourth Proportional to 26,913.42, 40,357.98 and 8,195.76

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Solution

The fourth proportional to 26,913.42, 40,357.98 and 8,195.76 is: 12,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,913.42 : 40,357.98 = 8,195.76 : x
  2. Step 2: Convert to fraction form
    26,913.42/40,357.98 = 8,195.76/x
  3. Step 3: Cross multiply
    26,913.42x = 40,357.98 × 8,195.76
  4. Step 4: Simplify right side
    26,913.42x = 330,764,318.16
  5. Step 5: Solve for x
    x = 330,764,318.16/26,913.42
  6. Step 6: Final answer
    x = 12,289.94

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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.