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Finding the Fourth Proportional to 9,591.80, 13,238 and 5,816.48

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Solution

The fourth proportional to 9,591.80, 13,238 and 5,816.48 is: 8,027.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,591.80 : 13,238 = 5,816.48 : x
  2. Step 2: Convert to fraction form
    9,591.80/13,238 = 5,816.48/x
  3. Step 3: Cross multiply
    9,591.80x = 13,238 × 5,816.48
  4. Step 4: Simplify right side
    9,591.80x = 76,998,562.24
  5. Step 5: Solve for x
    x = 76,998,562.24/9,591.80
  6. Step 6: Final answer
    x = 8,027.54

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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.