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Finding the Fourth Proportional to 10,194.98, 15,267.83 and 5,799.11

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Solution

The fourth proportional to 10,194.98, 15,267.83 and 5,799.11 is: 8,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,194.98 : 15,267.83 = 5,799.11 : x
  2. Step 2: Convert to fraction form
    10,194.98/15,267.83 = 5,799.11/x
  3. Step 3: Cross multiply
    10,194.98x = 15,267.83 × 5,799.11
  4. Step 4: Simplify right side
    10,194.98x = 88,539,720.30
  5. Step 5: Solve for x
    x = 88,539,720.30/10,194.98
  6. Step 6: Final answer
    x = 8,684.64

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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.