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Finding the Fourth Proportional to 9,781.80, 14,650.20 and 8,032.20

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Solution

The fourth proportional to 9,781.80, 14,650.20 and 8,032.20 is: 12,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.80 : 14,650.20 = 8,032.20 : x
  2. Step 2: Convert to fraction form
    9,781.80/14,650.20 = 8,032.20/x
  3. Step 3: Cross multiply
    9,781.80x = 14,650.20 × 8,032.20
  4. Step 4: Simplify right side
    9,781.80x = 117,673,336.44
  5. Step 5: Solve for x
    x = 117,673,336.44/9,781.80
  6. Step 6: Final answer
    x = 12,029.82

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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.