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Finding the Fourth Proportional to 11,656.68, 16,092.18 and 7,899.70

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Solution

The fourth proportional to 11,656.68, 16,092.18 and 7,899.70 is: 10,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,656.68 : 16,092.18 = 7,899.70 : x
  2. Step 2: Convert to fraction form
    11,656.68/16,092.18 = 7,899.70/x
  3. Step 3: Cross multiply
    11,656.68x = 16,092.18 × 7,899.70
  4. Step 4: Simplify right side
    11,656.68x = 127,123,394.35
  5. Step 5: Solve for x
    x = 127,123,394.35/11,656.68
  6. Step 6: Final answer
    x = 10,905.63

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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.