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Finding the Fourth Proportional to 6,189.92, 8,541.64 and 3,671.92

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Solution

The fourth proportional to 6,189.92, 8,541.64 and 3,671.92 is: 5,066.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.92 : 8,541.64 = 3,671.92 : x
  2. Step 2: Convert to fraction form
    6,189.92/8,541.64 = 3,671.92/x
  3. Step 3: Cross multiply
    6,189.92x = 8,541.64 × 3,671.92
  4. Step 4: Simplify right side
    6,189.92x = 31,364,218.75
  5. Step 5: Solve for x
    x = 31,364,218.75/6,189.92
  6. Step 6: Final answer
    x = 5,066.98

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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.