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Finding the Fourth Proportional to 5,757.25, 8,590.97 and 5,136.69

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Solution

The fourth proportional to 5,757.25, 8,590.97 and 5,136.69 is: 7,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.25 : 8,590.97 = 5,136.69 : x
  2. Step 2: Convert to fraction form
    5,757.25/8,590.97 = 5,136.69/x
  3. Step 3: Cross multiply
    5,757.25x = 8,590.97 × 5,136.69
  4. Step 4: Simplify right side
    5,757.25x = 44,129,146.42
  5. Step 5: Solve for x
    x = 44,129,146.42/5,757.25
  6. Step 6: Final answer
    x = 7,664.97

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.