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Finding the Fourth Proportional to 12,874.24, 17,763.44 and 8,156.80

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Solution

The fourth proportional to 12,874.24, 17,763.44 and 8,156.80 is: 11,254.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.24 : 17,763.44 = 8,156.80 : x
  2. Step 2: Convert to fraction form
    12,874.24/17,763.44 = 8,156.80/x
  3. Step 3: Cross multiply
    12,874.24x = 17,763.44 × 8,156.80
  4. Step 4: Simplify right side
    12,874.24x = 144,892,827.39
  5. Step 5: Solve for x
    x = 144,892,827.39/12,874.24
  6. Step 6: Final answer
    x = 11,254.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.