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Finding the Fourth Proportional to 11,805.93, 17,709.00 and 6,872.42

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Solution

The fourth proportional to 11,805.93, 17,709.00 and 6,872.42 is: 10,308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.93 : 17,709.00 = 6,872.42 : x
  2. Step 2: Convert to fraction form
    11,805.93/17,709.00 = 6,872.42/x
  3. Step 3: Cross multiply
    11,805.93x = 17,709.00 × 6,872.42
  4. Step 4: Simplify right side
    11,805.93x = 121,703,712.46
  5. Step 5: Solve for x
    x = 121,703,712.46/11,805.93
  6. Step 6: Final answer
    x = 10,308.70

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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.