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Finding the Fourth Proportional to 11,958.19, 16,502.84 and 9,965.41

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Solution

The fourth proportional to 11,958.19, 16,502.84 and 9,965.41 is: 13,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.19 : 16,502.84 = 9,965.41 : x
  2. Step 2: Convert to fraction form
    11,958.19/16,502.84 = 9,965.41/x
  3. Step 3: Cross multiply
    11,958.19x = 16,502.84 × 9,965.41
  4. Step 4: Simplify right side
    11,958.19x = 164,457,566.76
  5. Step 5: Solve for x
    x = 164,457,566.76/11,958.19
  6. Step 6: Final answer
    x = 13,752.71

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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.