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Finding the Fourth Proportional to 13,952.98, 20,930.19 and 3,564.82

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Solution

The fourth proportional to 13,952.98, 20,930.19 and 3,564.82 is: 5,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,952.98 : 20,930.19 = 3,564.82 : x
  2. Step 2: Convert to fraction form
    13,952.98/20,930.19 = 3,564.82/x
  3. Step 3: Cross multiply
    13,952.98x = 20,930.19 × 3,564.82
  4. Step 4: Simplify right side
    13,952.98x = 74,612,359.92
  5. Step 5: Solve for x
    x = 74,612,359.92/13,952.98
  6. Step 6: Final answer
    x = 5,347.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.