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Finding the Fourth Proportional to 11,596.82, 16,004.00 and 6,816.69

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Solution

The fourth proportional to 11,596.82, 16,004.00 and 6,816.69 is: 9,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.82 : 16,004.00 = 6,816.69 : x
  2. Step 2: Convert to fraction form
    11,596.82/16,004.00 = 6,816.69/x
  3. Step 3: Cross multiply
    11,596.82x = 16,004.00 × 6,816.69
  4. Step 4: Simplify right side
    11,596.82x = 109,094,323.80
  5. Step 5: Solve for x
    x = 109,094,323.80/11,596.82
  6. Step 6: Final answer
    x = 9,407.26

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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.