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Finding the Fourth Proportional to 12,407, 17,121.66 and 7,695.24

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Solution

The fourth proportional to 12,407, 17,121.66 and 7,695.24 is: 10,619.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407 : 17,121.66 = 7,695.24 : x
  2. Step 2: Convert to fraction form
    12,407/17,121.66 = 7,695.24/x
  3. Step 3: Cross multiply
    12,407x = 17,121.66 × 7,695.24
  4. Step 4: Simplify right side
    12,407x = 131,755,282.90
  5. Step 5: Solve for x
    x = 131,755,282.90/12,407
  6. Step 6: Final answer
    x = 10,619.43

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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.