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Finding the Fourth Proportional to 6,589.56, 9,094.62 and 4,234.20

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Solution

The fourth proportional to 6,589.56, 9,094.62 and 4,234.20 is: 5,843.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.56 : 9,094.62 = 4,234.20 : x
  2. Step 2: Convert to fraction form
    6,589.56/9,094.62 = 4,234.20/x
  3. Step 3: Cross multiply
    6,589.56x = 9,094.62 × 4,234.20
  4. Step 4: Simplify right side
    6,589.56x = 38,508,440.00
  5. Step 5: Solve for x
    x = 38,508,440.00/6,589.56
  6. Step 6: Final answer
    x = 5,843.86

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Half scale
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Double 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.