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Finding the Fourth Proportional to 8,092.32, 11,166.63 and 5,969

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Solution

The fourth proportional to 8,092.32, 11,166.63 and 5,969 is: 8,236.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.32 : 11,166.63 = 5,969 : x
  2. Step 2: Convert to fraction form
    8,092.32/11,166.63 = 5,969/x
  3. Step 3: Cross multiply
    8,092.32x = 11,166.63 × 5,969
  4. Step 4: Simplify right side
    8,092.32x = 66,653,614.47
  5. Step 5: Solve for x
    x = 66,653,614.47/8,092.32
  6. Step 6: Final answer
    x = 8,236.65

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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.