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Finding the Fourth Proportional to 12,846.12, 17,726.22 and 7,257.12

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Solution

The fourth proportional to 12,846.12, 17,726.22 and 7,257.12 is: 10,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.12 : 17,726.22 = 7,257.12 : x
  2. Step 2: Convert to fraction form
    12,846.12/17,726.22 = 7,257.12/x
  3. Step 3: Cross multiply
    12,846.12x = 17,726.22 × 7,257.12
  4. Step 4: Simplify right side
    12,846.12x = 128,641,305.69
  5. Step 5: Solve for x
    x = 128,641,305.69/12,846.12
  6. Step 6: Final answer
    x = 10,014.02

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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.