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Finding the Fourth Proportional to 8,590.31, 12,884.54 and 4,194.44

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Solution

The fourth proportional to 8,590.31, 12,884.54 and 4,194.44 is: 6,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.31 : 12,884.54 = 4,194.44 : x
  2. Step 2: Convert to fraction form
    8,590.31/12,884.54 = 4,194.44/x
  3. Step 3: Cross multiply
    8,590.31x = 12,884.54 × 4,194.44
  4. Step 4: Simplify right side
    8,590.31x = 54,043,344.56
  5. Step 5: Solve for x
    x = 54,043,344.56/8,590.31
  6. Step 6: Final answer
    x = 6,291.20

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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.