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Finding the Fourth Proportional to 6,734.43, 9,289.79 and 5,605.79

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Solution

The fourth proportional to 6,734.43, 9,289.79 and 5,605.79 is: 7,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.43 : 9,289.79 = 5,605.79 : x
  2. Step 2: Convert to fraction form
    6,734.43/9,289.79 = 5,605.79/x
  3. Step 3: Cross multiply
    6,734.43x = 9,289.79 × 5,605.79
  4. Step 4: Simplify right side
    6,734.43x = 52,076,611.88
  5. Step 5: Solve for x
    x = 52,076,611.88/6,734.43
  6. Step 6: Final answer
    x = 7,732.89

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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.