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Finding the Fourth Proportional to 7.08, 9.74 and 6.46

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Solution

The fourth proportional to 7.08, 9.74 and 6.46 is: 8.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.08 : 9.74 = 6.46 : x
  2. Step 2: Convert to fraction form
    7.08/9.74 = 6.46/x
  3. Step 3: Cross multiply
    7.08x = 9.74 × 6.46
  4. Step 4: Simplify right side
    7.08x = 62.97
  5. Step 5: Solve for x
    x = 62.97/7.08
  6. Step 6: Final answer
    x = 8.90

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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.