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Finding the Fourth Proportional to 8,126.01, 11,213.90 and 4,589.22

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Solution

The fourth proportional to 8,126.01, 11,213.90 and 4,589.22 is: 6,333.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,126.01 : 11,213.90 = 4,589.22 : x
  2. Step 2: Convert to fraction form
    8,126.01/11,213.90 = 4,589.22/x
  3. Step 3: Cross multiply
    8,126.01x = 11,213.90 × 4,589.22
  4. Step 4: Simplify right side
    8,126.01x = 51,463,054.16
  5. Step 5: Solve for x
    x = 51,463,054.16/8,126.01
  6. Step 6: Final answer
    x = 6,333.13

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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.