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Finding the Fourth Proportional to 11,791, 16,271.96 and 6,486.20

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Solution

The fourth proportional to 11,791, 16,271.96 and 6,486.20 is: 8,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,791 : 16,271.96 = 6,486.20 : x
  2. Step 2: Convert to fraction form
    11,791/16,271.96 = 6,486.20/x
  3. Step 3: Cross multiply
    11,791x = 16,271.96 × 6,486.20
  4. Step 4: Simplify right side
    11,791x = 105,543,186.95
  5. Step 5: Solve for x
    x = 105,543,186.95/11,791
  6. Step 6: Final answer
    x = 8,951.17

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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.