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Finding the Fourth Proportional to 11,692.95, 16,141.58 and 7,449.83

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Solution

The fourth proportional to 11,692.95, 16,141.58 and 7,449.83 is: 10,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.95 : 16,141.58 = 7,449.83 : x
  2. Step 2: Convert to fraction form
    11,692.95/16,141.58 = 7,449.83/x
  3. Step 3: Cross multiply
    11,692.95x = 16,141.58 × 7,449.83
  4. Step 4: Simplify right side
    11,692.95x = 120,251,908.97
  5. Step 5: Solve for x
    x = 120,251,908.97/11,692.95
  6. Step 6: Final answer
    x = 10,284.14

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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.