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Finding the Fourth Proportional to 8.74, 12.05 and 6.00

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Solution

The fourth proportional to 8.74, 12.05 and 6.00 is: 8.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.74 : 12.05 = 6.00 : x
  2. Step 2: Convert to fraction form
    8.74/12.05 = 6.00/x
  3. Step 3: Cross multiply
    8.74x = 12.05 × 6.00
  4. Step 4: Simplify right side
    8.74x = 72.32
  5. Step 5: Solve for x
    x = 72.32/8.74
  6. Step 6: Final answer
    x = 8.28

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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.