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Finding the Fourth Proportional to 5,946.90, 8,203.98 and 4,179.53

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Solution

The fourth proportional to 5,946.90, 8,203.98 and 4,179.53 is: 5,765.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.90 : 8,203.98 = 4,179.53 : x
  2. Step 2: Convert to fraction form
    5,946.90/8,203.98 = 4,179.53/x
  3. Step 3: Cross multiply
    5,946.90x = 8,203.98 × 4,179.53
  4. Step 4: Simplify right side
    5,946.90x = 34,288,739.51
  5. Step 5: Solve for x
    x = 34,288,739.51/5,946.90
  6. Step 6: Final answer
    x = 5,765.82

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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.