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Finding the Fourth Proportional to 5,946.73, 8,203.47 and 3,954.73

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Solution

The fourth proportional to 5,946.73, 8,203.47 and 3,954.73 is: 5,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.73 : 8,203.47 = 3,954.73 : x
  2. Step 2: Convert to fraction form
    5,946.73/8,203.47 = 3,954.73/x
  3. Step 3: Cross multiply
    5,946.73x = 8,203.47 × 3,954.73
  4. Step 4: Simplify right side
    5,946.73x = 32,442,508.91
  5. Step 5: Solve for x
    x = 32,442,508.91/5,946.73
  6. Step 6: Final answer
    x = 5,455.52

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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.