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Finding the Fourth Proportional to 6.40, 9.60 and 2.40

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Solution

The fourth proportional to 6.40, 9.60 and 2.40 is: 3.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.40 : 9.60 = 2.40 : x
  2. Step 2: Convert to fraction form
    6.40/9.60 = 2.40/x
  3. Step 3: Cross multiply
    6.40x = 9.60 × 2.40
  4. Step 4: Simplify right side
    6.40x = 23.00
  5. Step 5: Solve for x
    x = 23.00/6.40
  6. Step 6: Final answer
    x = 3.59

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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.