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Finding the Fourth Proportional to 8,109.69, 11,191.49 and 4,965.87

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Solution

The fourth proportional to 8,109.69, 11,191.49 and 4,965.87 is: 6,852.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,109.69 : 11,191.49 = 4,965.87 : x
  2. Step 2: Convert to fraction form
    8,109.69/11,191.49 = 4,965.87/x
  3. Step 3: Cross multiply
    8,109.69x = 11,191.49 × 4,965.87
  4. Step 4: Simplify right side
    8,109.69x = 55,575,459.62
  5. Step 5: Solve for x
    x = 55,575,459.62/8,109.69
  6. Step 6: Final answer
    x = 6,852.97

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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.