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Finding the Fourth Proportional to 11,105.16, 15,324.88 and 6,069.24

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Solution

The fourth proportional to 11,105.16, 15,324.88 and 6,069.24 is: 8,375.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.16 : 15,324.88 = 6,069.24 : x
  2. Step 2: Convert to fraction form
    11,105.16/15,324.88 = 6,069.24/x
  3. Step 3: Cross multiply
    11,105.16x = 15,324.88 × 6,069.24
  4. Step 4: Simplify right side
    11,105.16x = 93,010,374.69
  5. Step 5: Solve for x
    x = 93,010,374.69/11,105.16
  6. Step 6: Final answer
    x = 8,375.42

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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.