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Finding the Fourth Proportional to 7.80, 11.66 and 6.52

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Solution

The fourth proportional to 7.80, 11.66 and 6.52 is: 9.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.80 : 11.66 = 6.52 : x
  2. Step 2: Convert to fraction form
    7.80/11.66 = 6.52/x
  3. Step 3: Cross multiply
    7.80x = 11.66 × 6.52
  4. Step 4: Simplify right side
    7.80x = 76.02
  5. Step 5: Solve for x
    x = 76.02/7.80
  6. Step 6: Final answer
    x = 9.75

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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.