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Finding the Fourth Proportional to 12,584.16, 17,369.76 and 7,282.56

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Solution

The fourth proportional to 12,584.16, 17,369.76 and 7,282.56 is: 10,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.16 : 17,369.76 = 7,282.56 : x
  2. Step 2: Convert to fraction form
    12,584.16/17,369.76 = 7,282.56/x
  3. Step 3: Cross multiply
    12,584.16x = 17,369.76 × 7,282.56
  4. Step 4: Simplify right side
    12,584.16x = 126,496,319.39
  5. Step 5: Solve for x
    x = 126,496,319.39/12,584.16
  6. Step 6: Final answer
    x = 10,052.03

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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.