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Finding the Fourth Proportional to 12,704.46, 17,533.92 and 7,400.94

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Solution

The fourth proportional to 12,704.46, 17,533.92 and 7,400.94 is: 10,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,704.46 : 17,533.92 = 7,400.94 : x
  2. Step 2: Convert to fraction form
    12,704.46/17,533.92 = 7,400.94/x
  3. Step 3: Cross multiply
    12,704.46x = 17,533.92 × 7,400.94
  4. Step 4: Simplify right side
    12,704.46x = 129,767,489.88
  5. Step 5: Solve for x
    x = 129,767,489.88/12,704.46
  6. Step 6: Final answer
    x = 10,214.33

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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.