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Finding the Fourth Proportional to 6.48, 9.69 and 6.48

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Solution

The fourth proportional to 6.48, 9.69 and 6.48 is: 9.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.48 : 9.69 = 6.48 : x
  2. Step 2: Convert to fraction form
    6.48/9.69 = 6.48/x
  3. Step 3: Cross multiply
    6.48x = 9.69 × 6.48
  4. Step 4: Simplify right side
    6.48x = 62.77
  5. Step 5: Solve for x
    x = 62.77/6.48
  6. Step 6: Final answer
    x = 9.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.