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Finding the Fourth Proportional to 16,659.69, 22,991.07 and 9,586.14

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Solution

The fourth proportional to 16,659.69, 22,991.07 and 9,586.14 is: 13,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,659.69 : 22,991.07 = 9,586.14 : x
  2. Step 2: Convert to fraction form
    16,659.69/22,991.07 = 9,586.14/x
  3. Step 3: Cross multiply
    16,659.69x = 22,991.07 × 9,586.14
  4. Step 4: Simplify right side
    16,659.69x = 220,395,615.77
  5. Step 5: Solve for x
    x = 220,395,615.77/16,659.69
  6. Step 6: Final answer
    x = 13,229.27

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.