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Finding the Fourth Proportional to 6,057.08, 9,086.46 and 5,948.54

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Solution

The fourth proportional to 6,057.08, 9,086.46 and 5,948.54 is: 8,923.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.08 : 9,086.46 = 5,948.54 : x
  2. Step 2: Convert to fraction form
    6,057.08/9,086.46 = 5,948.54/x
  3. Step 3: Cross multiply
    6,057.08x = 9,086.46 × 5,948.54
  4. Step 4: Simplify right side
    6,057.08x = 54,051,170.77
  5. Step 5: Solve for x
    x = 54,051,170.77/6,057.08
  6. Step 6: Final answer
    x = 8,923.63

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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.