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Finding the Fourth Proportional to 5,609.86, 8,414.79 and 1,714.23

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Solution

The fourth proportional to 5,609.86, 8,414.79 and 1,714.23 is: 2,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.86 : 8,414.79 = 1,714.23 : x
  2. Step 2: Convert to fraction form
    5,609.86/8,414.79 = 1,714.23/x
  3. Step 3: Cross multiply
    5,609.86x = 8,414.79 × 1,714.23
  4. Step 4: Simplify right side
    5,609.86x = 14,424,906.50
  5. Step 5: Solve for x
    x = 14,424,906.50/5,609.86
  6. Step 6: Final answer
    x = 2,571.35

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.