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Finding the Fourth Proportional to 5,471.30, 7,550.86 and 4,473.78

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Solution

The fourth proportional to 5,471.30, 7,550.86 and 4,473.78 is: 6,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.30 : 7,550.86 = 4,473.78 : x
  2. Step 2: Convert to fraction form
    5,471.30/7,550.86 = 4,473.78/x
  3. Step 3: Cross multiply
    5,471.30x = 7,550.86 × 4,473.78
  4. Step 4: Simplify right side
    5,471.30x = 33,780,886.45
  5. Step 5: Solve for x
    x = 33,780,886.45/5,471.30
  6. Step 6: Final answer
    x = 6,174.20

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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.