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Finding the Fourth Proportional to 11,692.65, 16,131.86 and 6,655.61

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Solution

The fourth proportional to 11,692.65, 16,131.86 and 6,655.61 is: 9,182.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,692.65 : 16,131.86 = 6,655.61 : x
  2. Step 2: Convert to fraction form
    11,692.65/16,131.86 = 6,655.61/x
  3. Step 3: Cross multiply
    11,692.65x = 16,131.86 × 6,655.61
  4. Step 4: Simplify right side
    11,692.65x = 107,367,254.80
  5. Step 5: Solve for x
    x = 107,367,254.80/11,692.65
  6. Step 6: Final answer
    x = 9,182.46

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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.