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Finding the Fourth Proportional to 11,673.15, 17,514.09 and 6,996.51

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Solution

The fourth proportional to 11,673.15, 17,514.09 and 6,996.51 is: 10,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,673.15 : 17,514.09 = 6,996.51 : x
  2. Step 2: Convert to fraction form
    11,673.15/17,514.09 = 6,996.51/x
  3. Step 3: Cross multiply
    11,673.15x = 17,514.09 × 6,996.51
  4. Step 4: Simplify right side
    11,673.15x = 122,537,505.83
  5. Step 5: Solve for x
    x = 122,537,505.83/11,673.15
  6. Step 6: Final answer
    x = 10,497.38

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Half scale
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Double scale
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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.