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Finding the Fourth Proportional to 8,197.92, 11,313.14 and 4,661.15

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Solution

The fourth proportional to 8,197.92, 11,313.14 and 4,661.15 is: 6,432.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.92 : 11,313.14 = 4,661.15 : x
  2. Step 2: Convert to fraction form
    8,197.92/11,313.14 = 4,661.15/x
  3. Step 3: Cross multiply
    8,197.92x = 11,313.14 × 4,661.15
  4. Step 4: Simplify right side
    8,197.92x = 52,732,162.64
  5. Step 5: Solve for x
    x = 52,732,162.64/8,197.92
  6. Step 6: Final answer
    x = 6,432.38

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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.