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Finding the Fourth Proportional to 7,254.52, 10,011.24 and 3,942.52

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Solution

The fourth proportional to 7,254.52, 10,011.24 and 3,942.52 is: 5,440.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,254.52 : 10,011.24 = 3,942.52 : x
  2. Step 2: Convert to fraction form
    7,254.52/10,011.24 = 3,942.52/x
  3. Step 3: Cross multiply
    7,254.52x = 10,011.24 × 3,942.52
  4. Step 4: Simplify right side
    7,254.52x = 39,469,513.92
  5. Step 5: Solve for x
    x = 39,469,513.92/7,254.52
  6. Step 6: Final answer
    x = 5,440.68

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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.