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Finding the Fourth Proportional to 11,858.36, 16,363.82 and 6,819.04

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Solution

The fourth proportional to 11,858.36, 16,363.82 and 6,819.04 is: 9,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.36 : 16,363.82 = 6,819.04 : x
  2. Step 2: Convert to fraction form
    11,858.36/16,363.82 = 6,819.04/x
  3. Step 3: Cross multiply
    11,858.36x = 16,363.82 × 6,819.04
  4. Step 4: Simplify right side
    11,858.36x = 111,585,543.13
  5. Step 5: Solve for x
    x = 111,585,543.13/11,858.36
  6. Step 6: Final answer
    x = 9,409.86

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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.