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Finding the Fourth Proportional to 6,957.86, 9,601.97 and 3,814.02

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Solution

The fourth proportional to 6,957.86, 9,601.97 and 3,814.02 is: 5,263.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.86 : 9,601.97 = 3,814.02 : x
  2. Step 2: Convert to fraction form
    6,957.86/9,601.97 = 3,814.02/x
  3. Step 3: Cross multiply
    6,957.86x = 9,601.97 × 3,814.02
  4. Step 4: Simplify right side
    6,957.86x = 36,622,086.55
  5. Step 5: Solve for x
    x = 36,622,086.55/6,957.86
  6. Step 6: Final answer
    x = 5,263.42

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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.