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Finding the Fourth Proportional to 8,105.92, 11,186.19 and 4,569.19

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Solution

The fourth proportional to 8,105.92, 11,186.19 and 4,569.19 is: 6,305.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.92 : 11,186.19 = 4,569.19 : x
  2. Step 2: Convert to fraction form
    8,105.92/11,186.19 = 4,569.19/x
  3. Step 3: Cross multiply
    8,105.92x = 11,186.19 × 4,569.19
  4. Step 4: Simplify right side
    8,105.92x = 51,111,827.49
  5. Step 5: Solve for x
    x = 51,111,827.49/8,105.92
  6. Step 6: Final answer
    x = 6,305.49

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Half 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.