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Finding the Fourth Proportional to 8,029, 11,086.86 and 5,049.82

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Solution

The fourth proportional to 8,029, 11,086.86 and 5,049.82 is: 6,973.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,029 : 11,086.86 = 5,049.82 : x
  2. Step 2: Convert to fraction form
    8,029/11,086.86 = 5,049.82/x
  3. Step 3: Cross multiply
    8,029x = 11,086.86 × 5,049.82
  4. Step 4: Simplify right side
    8,029x = 55,986,647.37
  5. Step 5: Solve for x
    x = 55,986,647.37/8,029
  6. Step 6: Final answer
    x = 6,973.05

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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.