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Finding the Fourth Proportional to 12,703.41, 17,519.28 and 8,222.49

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Solution

The fourth proportional to 12,703.41, 17,519.28 and 8,222.49 is: 11,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.41 : 17,519.28 = 8,222.49 : x
  2. Step 2: Convert to fraction form
    12,703.41/17,519.28 = 8,222.49/x
  3. Step 3: Cross multiply
    12,703.41x = 17,519.28 × 8,222.49
  4. Step 4: Simplify right side
    12,703.41x = 144,052,104.61
  5. Step 5: Solve for x
    x = 144,052,104.61/12,703.41
  6. Step 6: Final answer
    x = 11,339.64

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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.