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Finding the Fourth Proportional to 12,874.24, 17,760.18 and 8,395.96

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Solution

The fourth proportional to 12,874.24, 17,760.18 and 8,395.96 is: 11,582.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.24 : 17,760.18 = 8,395.96 : x
  2. Step 2: Convert to fraction form
    12,874.24/17,760.18 = 8,395.96/x
  3. Step 3: Cross multiply
    12,874.24x = 17,760.18 × 8,395.96
  4. Step 4: Simplify right side
    12,874.24x = 149,113,760.87
  5. Step 5: Solve for x
    x = 149,113,760.87/12,874.24
  6. Step 6: Final answer
    x = 11,582.34

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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.