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Finding the Fourth Proportional to 6,833.01, 9,409.70 and 5,936.34

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Solution

The fourth proportional to 6,833.01, 9,409.70 and 5,936.34 is: 8,174.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.01 : 9,409.70 = 5,936.34 : x
  2. Step 2: Convert to fraction form
    6,833.01/9,409.70 = 5,936.34/x
  3. Step 3: Cross multiply
    6,833.01x = 9,409.70 × 5,936.34
  4. Step 4: Simplify right side
    6,833.01x = 55,859,178.50
  5. Step 5: Solve for x
    x = 55,859,178.50/6,833.01
  6. Step 6: Final answer
    x = 8,174.90

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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.