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Finding the Fourth Proportional to 14,326.63, 19,770.44 and 7,952.85

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Solution

The fourth proportional to 14,326.63, 19,770.44 and 7,952.85 is: 10,974.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,326.63 : 19,770.44 = 7,952.85 : x
  2. Step 2: Convert to fraction form
    14,326.63/19,770.44 = 7,952.85/x
  3. Step 3: Cross multiply
    14,326.63x = 19,770.44 × 7,952.85
  4. Step 4: Simplify right side
    14,326.63x = 157,231,343.75
  5. Step 5: Solve for x
    x = 157,231,343.75/14,326.63
  6. Step 6: Final answer
    x = 10,974.76

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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.