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Finding the Fourth Proportional to 14,326.60, 19,770.42 and 8,041

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Solution

The fourth proportional to 14,326.60, 19,770.42 and 8,041 is: 11,096.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.60 : 19,770.42 = 8,041 : x
  2. Step 2: Convert to fraction form
    14,326.60/19,770.42 = 8,041/x
  3. Step 3: Cross multiply
    14,326.60x = 19,770.42 × 8,041
  4. Step 4: Simplify right side
    14,326.60x = 158,973,947.22
  5. Step 5: Solve for x
    x = 158,973,947.22/14,326.60
  6. Step 6: Final answer
    x = 11,096.42

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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.