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Finding the Fourth Proportional to 11,809.11, 17,716.11 and 9,874.83

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Solution

The fourth proportional to 11,809.11, 17,716.11 and 9,874.83 is: 14,814.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.11 : 17,716.11 = 9,874.83 : x
  2. Step 2: Convert to fraction form
    11,809.11/17,716.11 = 9,874.83/x
  3. Step 3: Cross multiply
    11,809.11x = 17,716.11 × 9,874.83
  4. Step 4: Simplify right side
    11,809.11x = 174,943,574.51
  5. Step 5: Solve for x
    x = 174,943,574.51/11,809.11
  6. Step 6: Final answer
    x = 14,814.29

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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.