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Finding the Fourth Proportional to 11,792.82, 16,273.98 and 6,415.23

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Solution

The fourth proportional to 11,792.82, 16,273.98 and 6,415.23 is: 8,852.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.82 : 16,273.98 = 6,415.23 : x
  2. Step 2: Convert to fraction form
    11,792.82/16,273.98 = 6,415.23/x
  3. Step 3: Cross multiply
    11,792.82x = 16,273.98 × 6,415.23
  4. Step 4: Simplify right side
    11,792.82x = 104,401,324.72
  5. Step 5: Solve for x
    x = 104,401,324.72/11,792.82
  6. Step 6: Final answer
    x = 8,852.96

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Half scale
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Double scale
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Similar ratio
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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.