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Finding the Fourth Proportional to 11,692.84, 16,136.10 and 6,387.65

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Solution

The fourth proportional to 11,692.84, 16,136.10 and 6,387.65 is: 8,814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.84 : 16,136.10 = 6,387.65 : x
  2. Step 2: Convert to fraction form
    11,692.84/16,136.10 = 6,387.65/x
  3. Step 3: Cross multiply
    11,692.84x = 16,136.10 × 6,387.65
  4. Step 4: Simplify right side
    11,692.84x = 103,071,799.51
  5. Step 5: Solve for x
    x = 103,071,799.51/11,692.84
  6. Step 6: Final answer
    x = 8,814.95

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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.