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Finding the Fourth Proportional to 9,181.14, 12,671.81 and 5,827.95

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Solution

The fourth proportional to 9,181.14, 12,671.81 and 5,827.95 is: 8,043.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.14 : 12,671.81 = 5,827.95 : x
  2. Step 2: Convert to fraction form
    9,181.14/12,671.81 = 5,827.95/x
  3. Step 3: Cross multiply
    9,181.14x = 12,671.81 × 5,827.95
  4. Step 4: Simplify right side
    9,181.14x = 73,850,645.95
  5. Step 5: Solve for x
    x = 73,850,645.95/9,181.14
  6. Step 6: Final answer
    x = 8,043.73

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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.