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Finding the Fourth Proportional to 9,274.42, 12,791.24 and 8,152.97

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Solution

The fourth proportional to 9,274.42, 12,791.24 and 8,152.97 is: 11,244.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.42 : 12,791.24 = 8,152.97 : x
  2. Step 2: Convert to fraction form
    9,274.42/12,791.24 = 8,152.97/x
  3. Step 3: Cross multiply
    9,274.42x = 12,791.24 × 8,152.97
  4. Step 4: Simplify right side
    9,274.42x = 104,286,595.98
  5. Step 5: Solve for x
    x = 104,286,595.98/9,274.42
  6. Step 6: Final answer
    x = 11,244.54

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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.