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Finding the Fourth Proportional to 8,065.44, 12,093.84 and 5,164.56

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Solution

The fourth proportional to 8,065.44, 12,093.84 and 5,164.56 is: 7,744.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.44 : 12,093.84 = 5,164.56 : x
  2. Step 2: Convert to fraction form
    8,065.44/12,093.84 = 5,164.56/x
  3. Step 3: Cross multiply
    8,065.44x = 12,093.84 × 5,164.56
  4. Step 4: Simplify right side
    8,065.44x = 62,459,362.31
  5. Step 5: Solve for x
    x = 62,459,362.31/8,065.44
  6. Step 6: Final answer
    x = 7,744.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.