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Finding the Fourth Proportional to 11,684.66, 17,513.13 and 6,744.08

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Solution

The fourth proportional to 11,684.66, 17,513.13 and 6,744.08 is: 10,108.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.66 : 17,513.13 = 6,744.08 : x
  2. Step 2: Convert to fraction form
    11,684.66/17,513.13 = 6,744.08/x
  3. Step 3: Cross multiply
    11,684.66x = 17,513.13 × 6,744.08
  4. Step 4: Simplify right side
    11,684.66x = 118,109,949.77
  5. Step 5: Solve for x
    x = 118,109,949.77/11,684.66
  6. Step 6: Final answer
    x = 10,108.12

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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.