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Finding the Fourth Proportional to 8,401, 11,593.38 and 4,675.24

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Solution

The fourth proportional to 8,401, 11,593.38 and 4,675.24 is: 6,451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,401 : 11,593.38 = 4,675.24 : x
  2. Step 2: Convert to fraction form
    8,401/11,593.38 = 4,675.24/x
  3. Step 3: Cross multiply
    8,401x = 11,593.38 × 4,675.24
  4. Step 4: Simplify right side
    8,401x = 54,201,833.91
  5. Step 5: Solve for x
    x = 54,201,833.91/8,401
  6. Step 6: Final answer
    x = 6,451.83

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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.