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Finding the Fourth Proportional to 6,852.91, 10,279.75 and 1,922.17

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Solution

The fourth proportional to 6,852.91, 10,279.75 and 1,922.17 is: 2,883.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.91 : 10,279.75 = 1,922.17 : x
  2. Step 2: Convert to fraction form
    6,852.91/10,279.75 = 1,922.17/x
  3. Step 3: Cross multiply
    6,852.91x = 10,279.75 × 1,922.17
  4. Step 4: Simplify right side
    6,852.91x = 19,759,414.44
  5. Step 5: Solve for x
    x = 19,759,414.44/6,852.91
  6. Step 6: Final answer
    x = 2,883.36

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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.