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Finding the Fourth Proportional to 12,589.32, 17,371.08 and 7,283.82

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Solution

The fourth proportional to 12,589.32, 17,371.08 and 7,283.82 is: 10,050.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.32 : 17,371.08 = 7,283.82 : x
  2. Step 2: Convert to fraction form
    12,589.32/17,371.08 = 7,283.82/x
  3. Step 3: Cross multiply
    12,589.32x = 17,371.08 × 7,283.82
  4. Step 4: Simplify right side
    12,589.32x = 126,527,819.93
  5. Step 5: Solve for x
    x = 126,527,819.93/12,589.32
  6. Step 6: Final answer
    x = 10,050.41

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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.