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Finding the Fourth Proportional to 12,454.17, 17,186.82 and 6,865.17

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Solution

The fourth proportional to 12,454.17, 17,186.82 and 6,865.17 is: 9,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.17 : 17,186.82 = 6,865.17 : x
  2. Step 2: Convert to fraction form
    12,454.17/17,186.82 = 6,865.17/x
  3. Step 3: Cross multiply
    12,454.17x = 17,186.82 × 6,865.17
  4. Step 4: Simplify right side
    12,454.17x = 117,990,441.06
  5. Step 5: Solve for x
    x = 117,990,441.06/12,454.17
  6. Step 6: Final answer
    x = 9,473.97

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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.