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Finding the Fourth Proportional to 11,605.69, 17,409.84 and 3,814.48

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Solution

The fourth proportional to 11,605.69, 17,409.84 and 3,814.48 is: 5,722.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,605.69 : 17,409.84 = 3,814.48 : x
  2. Step 2: Convert to fraction form
    11,605.69/17,409.84 = 3,814.48/x
  3. Step 3: Cross multiply
    11,605.69x = 17,409.84 × 3,814.48
  4. Step 4: Simplify right side
    11,605.69x = 66,409,486.48
  5. Step 5: Solve for x
    x = 66,409,486.48/11,605.69
  6. Step 6: Final answer
    x = 5,722.15

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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.