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Finding the Fourth Proportional to 12,703.92, 17,519.97 and 8,223

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Solution

The fourth proportional to 12,703.92, 17,519.97 and 8,223 is: 11,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.92 : 17,519.97 = 8,223 : x
  2. Step 2: Convert to fraction form
    12,703.92/17,519.97 = 8,223/x
  3. Step 3: Cross multiply
    12,703.92x = 17,519.97 × 8,223
  4. Step 4: Simplify right side
    12,703.92x = 144,066,713.31
  5. Step 5: Solve for x
    x = 144,066,713.31/12,703.92
  6. Step 6: Final answer
    x = 11,340.34

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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.