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Finding the Fourth Proportional to 5,957, 8,221.12 and 3,304.92

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Solution

The fourth proportional to 5,957, 8,221.12 and 3,304.92 is: 4,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957 : 8,221.12 = 3,304.92 : x
  2. Step 2: Convert to fraction form
    5,957/8,221.12 = 3,304.92/x
  3. Step 3: Cross multiply
    5,957x = 8,221.12 × 3,304.92
  4. Step 4: Simplify right side
    5,957x = 27,170,143.91
  5. Step 5: Solve for x
    x = 27,170,143.91/5,957
  6. Step 6: Final answer
    x = 4,561.04

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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.