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Finding the Fourth Proportional to 8,552.69, 11,799.46 and 5,194.24

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Solution

The fourth proportional to 8,552.69, 11,799.46 and 5,194.24 is: 7,166.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,552.69 : 11,799.46 = 5,194.24 : x
  2. Step 2: Convert to fraction form
    8,552.69/11,799.46 = 5,194.24/x
  3. Step 3: Cross multiply
    8,552.69x = 11,799.46 × 5,194.24
  4. Step 4: Simplify right side
    8,552.69x = 61,289,227.11
  5. Step 5: Solve for x
    x = 61,289,227.11/8,552.69
  6. Step 6: Final answer
    x = 7,166.08

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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.