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Finding the Fourth Proportional to 8.77, 12.09 and 6.00

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Solution

The fourth proportional to 8.77, 12.09 and 6.00 is: 8.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.77 : 12.09 = 6.00 : x
  2. Step 2: Convert to fraction form
    8.77/12.09 = 6.00/x
  3. Step 3: Cross multiply
    8.77x = 12.09 × 6.00
  4. Step 4: Simplify right side
    8.77x = 72.48
  5. Step 5: Solve for x
    x = 72.48/8.77
  6. Step 6: Final answer
    x = 8.27

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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.