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Finding the Fourth Proportional to 6,894.71, 10,342.10 and 2,512.17

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Solution

The fourth proportional to 6,894.71, 10,342.10 and 2,512.17 is: 3,768.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.71 : 10,342.10 = 2,512.17 : x
  2. Step 2: Convert to fraction form
    6,894.71/10,342.10 = 2,512.17/x
  3. Step 3: Cross multiply
    6,894.71x = 10,342.10 × 2,512.17
  4. Step 4: Simplify right side
    6,894.71x = 25,981,100.80
  5. Step 5: Solve for x
    x = 25,981,100.80/6,894.71
  6. Step 6: Final answer
    x = 3,768.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.