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Finding the Fourth Proportional to 12,895.47, 17,794.49 and 7,589.57

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Solution

The fourth proportional to 12,895.47, 17,794.49 and 7,589.57 is: 10,472.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,895.47 : 17,794.49 = 7,589.57 : x
  2. Step 2: Convert to fraction form
    12,895.47/17,794.49 = 7,589.57/x
  3. Step 3: Cross multiply
    12,895.47x = 17,794.49 × 7,589.57
  4. Step 4: Simplify right side
    12,895.47x = 135,052,400.55
  5. Step 5: Solve for x
    x = 135,052,400.55/12,895.47
  6. Step 6: Final answer
    x = 10,472.86

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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.