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Finding the Fourth Proportional to 13,884.90, 20,827.37 and 4,650.90

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Solution

The fourth proportional to 13,884.90, 20,827.37 and 4,650.90 is: 6,976.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.90 : 20,827.37 = 4,650.90 : x
  2. Step 2: Convert to fraction form
    13,884.90/20,827.37 = 4,650.90/x
  3. Step 3: Cross multiply
    13,884.90x = 20,827.37 × 4,650.90
  4. Step 4: Simplify right side
    13,884.90x = 96,866,015.13
  5. Step 5: Solve for x
    x = 96,866,015.13/13,884.90
  6. Step 6: Final answer
    x = 6,976.36

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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.