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Finding the Fourth Proportional to 11,853.96, 17,787.15 and 7,692.99

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Solution

The fourth proportional to 11,853.96, 17,787.15 and 7,692.99 is: 11,543.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,853.96 : 17,787.15 = 7,692.99 : x
  2. Step 2: Convert to fraction form
    11,853.96/17,787.15 = 7,692.99/x
  3. Step 3: Cross multiply
    11,853.96x = 17,787.15 × 7,692.99
  4. Step 4: Simplify right side
    11,853.96x = 136,836,367.08
  5. Step 5: Solve for x
    x = 136,836,367.08/11,853.96
  6. Step 6: Final answer
    x = 11,543.52

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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.