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Finding the Fourth Proportional to 15,191.98, 20,965 and 8,477.49

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Solution

The fourth proportional to 15,191.98, 20,965 and 8,477.49 is: 11,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191.98 : 20,965 = 8,477.49 : x
  2. Step 2: Convert to fraction form
    15,191.98/20,965 = 8,477.49/x
  3. Step 3: Cross multiply
    15,191.98x = 20,965 × 8,477.49
  4. Step 4: Simplify right side
    15,191.98x = 177,730,577.85
  5. Step 5: Solve for x
    x = 177,730,577.85/15,191.98
  6. Step 6: Final answer
    x = 11,698.97

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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.