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Finding the Fourth Proportional to 14,462.46, 19,964.67 and 8,494.50

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Solution

The fourth proportional to 14,462.46, 19,964.67 and 8,494.50 is: 11,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.46 : 19,964.67 = 8,494.50 : x
  2. Step 2: Convert to fraction form
    14,462.46/19,964.67 = 8,494.50/x
  3. Step 3: Cross multiply
    14,462.46x = 19,964.67 × 8,494.50
  4. Step 4: Simplify right side
    14,462.46x = 169,589,932.33
  5. Step 5: Solve for x
    x = 169,589,932.33/14,462.46
  6. Step 6: Final answer
    x = 11,726.22

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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.