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Finding the Fourth Proportional to 11,663.13, 17,494.56 and 6,984.45

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Solution

The fourth proportional to 11,663.13, 17,494.56 and 6,984.45 is: 10,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,663.13 : 17,494.56 = 6,984.45 : x
  2. Step 2: Convert to fraction form
    11,663.13/17,494.56 = 6,984.45/x
  3. Step 3: Cross multiply
    11,663.13x = 17,494.56 × 6,984.45
  4. Step 4: Simplify right side
    11,663.13x = 122,189,879.59
  5. Step 5: Solve for x
    x = 122,189,879.59/11,663.13
  6. Step 6: Final answer
    x = 10,476.59

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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.