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Finding the Fourth Proportional to 7,221.30, 9,963.69 and 4,194.63

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Solution

The fourth proportional to 7,221.30, 9,963.69 and 4,194.63 is: 5,787.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.30 : 9,963.69 = 4,194.63 : x
  2. Step 2: Convert to fraction form
    7,221.30/9,963.69 = 4,194.63/x
  3. Step 3: Cross multiply
    7,221.30x = 9,963.69 × 4,194.63
  4. Step 4: Simplify right side
    7,221.30x = 41,793,972.83
  5. Step 5: Solve for x
    x = 41,793,972.83/7,221.30
  6. Step 6: Final answer
    x = 5,787.59

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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.