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Finding the Fourth Proportional to 8,096.01, 11,172.97 and 4,952.80

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Solution

The fourth proportional to 8,096.01, 11,172.97 and 4,952.80 is: 6,835.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.01 : 11,172.97 = 4,952.80 : x
  2. Step 2: Convert to fraction form
    8,096.01/11,172.97 = 4,952.80/x
  3. Step 3: Cross multiply
    8,096.01x = 11,172.97 × 4,952.80
  4. Step 4: Simplify right side
    8,096.01x = 55,337,485.82
  5. Step 5: Solve for x
    x = 55,337,485.82/8,096.01
  6. Step 6: Final answer
    x = 6,835.16

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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.