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Finding the Fourth Proportional to 5,410.44, 7,470.63 and 4,234.86

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Solution

The fourth proportional to 5,410.44, 7,470.63 and 4,234.86 is: 5,847.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.44 : 7,470.63 = 4,234.86 : x
  2. Step 2: Convert to fraction form
    5,410.44/7,470.63 = 4,234.86/x
  3. Step 3: Cross multiply
    5,410.44x = 7,470.63 × 4,234.86
  4. Step 4: Simplify right side
    5,410.44x = 31,637,072.16
  5. Step 5: Solve for x
    x = 31,637,072.16/5,410.44
  6. Step 6: Final answer
    x = 5,847.41

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Half scale
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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.