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Finding the Fourth Proportional to 6,593.56, 9,100.14 and 4,238.20

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Solution

The fourth proportional to 6,593.56, 9,100.14 and 4,238.20 is: 5,849.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.56 : 9,100.14 = 4,238.20 : x
  2. Step 2: Convert to fraction form
    6,593.56/9,100.14 = 4,238.20/x
  3. Step 3: Cross multiply
    6,593.56x = 9,100.14 × 4,238.20
  4. Step 4: Simplify right side
    6,593.56x = 38,568,213.35
  5. Step 5: Solve for x
    x = 38,568,213.35/6,593.56
  6. Step 6: Final answer
    x = 5,849.38

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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.