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Finding the Fourth Proportional to 6,957.09, 9,600.78 and 3,770.42

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Solution

The fourth proportional to 6,957.09, 9,600.78 and 3,770.42 is: 5,203.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.09 : 9,600.78 = 3,770.42 : x
  2. Step 2: Convert to fraction form
    6,957.09/9,600.78 = 3,770.42/x
  3. Step 3: Cross multiply
    6,957.09x = 9,600.78 × 3,770.42
  4. Step 4: Simplify right side
    6,957.09x = 36,198,939.06
  5. Step 5: Solve for x
    x = 36,198,939.06/6,957.09
  6. Step 6: Final answer
    x = 5,203.17

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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.