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Finding the Fourth Proportional to 4,291.42, 5,949.93 and 4,147.42

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Solution

The fourth proportional to 4,291.42, 5,949.93 and 4,147.42 is: 5,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.42 : 5,949.93 = 4,147.42 : x
  2. Step 2: Convert to fraction form
    4,291.42/5,949.93 = 4,147.42/x
  3. Step 3: Cross multiply
    4,291.42x = 5,949.93 × 4,147.42
  4. Step 4: Simplify right side
    4,291.42x = 24,676,837.94
  5. Step 5: Solve for x
    x = 24,676,837.94/4,291.42
  6. Step 6: Final answer
    x = 5,750.27

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