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Finding the Fourth Proportional to 6.46, 9.70 and 6.02

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Solution

The fourth proportional to 6.46, 9.70 and 6.02 is: 9.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.46 : 9.70 = 6.02 : x
  2. Step 2: Convert to fraction form
    6.46/9.70 = 6.02/x
  3. Step 3: Cross multiply
    6.46x = 9.70 × 6.02
  4. Step 4: Simplify right side
    6.46x = 58.39
  5. Step 5: Solve for x
    x = 58.39/6.46
  6. Step 6: Final answer
    x = 9.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.