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Finding the Fourth Proportional to 4,661.08, 6,983.42 and 4,383.61

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Solution

The fourth proportional to 4,661.08, 6,983.42 and 4,383.61 is: 6,567.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.08 : 6,983.42 = 4,383.61 : x
  2. Step 2: Convert to fraction form
    4,661.08/6,983.42 = 4,383.61/x
  3. Step 3: Cross multiply
    4,661.08x = 6,983.42 × 4,383.61
  4. Step 4: Simplify right side
    4,661.08x = 30,612,597.46
  5. Step 5: Solve for x
    x = 30,612,597.46/4,661.08
  6. Step 6: Final answer
    x = 6,567.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.