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Finding the Fourth Proportional to 5,644.63, 8,466.94 and 1,540.63

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Solution

The fourth proportional to 5,644.63, 8,466.94 and 1,540.63 is: 2,310.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.63 : 8,466.94 = 1,540.63 : x
  2. Step 2: Convert to fraction form
    5,644.63/8,466.94 = 1,540.63/x
  3. Step 3: Cross multiply
    5,644.63x = 8,466.94 × 1,540.63
  4. Step 4: Simplify right side
    5,644.63x = 13,044,379.44
  5. Step 5: Solve for x
    x = 13,044,379.44/5,644.63
  6. Step 6: Final answer
    x = 2,310.94

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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.