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Finding the Fourth Proportional to 6,764.06, 9,337.16 and 5,816.05

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Solution

The fourth proportional to 6,764.06, 9,337.16 and 5,816.05 is: 8,028.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,764.06 : 9,337.16 = 5,816.05 : x
  2. Step 2: Convert to fraction form
    6,764.06/9,337.16 = 5,816.05/x
  3. Step 3: Cross multiply
    6,764.06x = 9,337.16 × 5,816.05
  4. Step 4: Simplify right side
    6,764.06x = 54,305,380.62
  5. Step 5: Solve for x
    x = 54,305,380.62/6,764.06
  6. Step 6: Final answer
    x = 8,028.52

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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.