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Finding the Fourth Proportional to 11,542.68, 15,906.78 and 8,224.92

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Solution

The fourth proportional to 11,542.68, 15,906.78 and 8,224.92 is: 11,334.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.68 : 15,906.78 = 8,224.92 : x
  2. Step 2: Convert to fraction form
    11,542.68/15,906.78 = 8,224.92/x
  3. Step 3: Cross multiply
    11,542.68x = 15,906.78 × 8,224.92
  4. Step 4: Simplify right side
    11,542.68x = 130,831,992.96
  5. Step 5: Solve for x
    x = 130,831,992.96/11,542.68
  6. Step 6: Final answer
    x = 11,334.63

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Half scale
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Double scale
Find fourth proportional to 11,543.68, 15,908.16 and 8,225.92
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.