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Finding the Fourth Proportional to 8,102.94, 11,187.22 and 6,614.40

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Solution

The fourth proportional to 8,102.94, 11,187.22 and 6,614.40 is: 9,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,102.94 : 11,187.22 = 6,614.40 : x
  2. Step 2: Convert to fraction form
    8,102.94/11,187.22 = 6,614.40/x
  3. Step 3: Cross multiply
    8,102.94x = 11,187.22 × 6,614.40
  4. Step 4: Simplify right side
    8,102.94x = 73,996,747.97
  5. Step 5: Solve for x
    x = 73,996,747.97/8,102.94
  6. Step 6: Final answer
    x = 9,132.09

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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.