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Finding the Fourth Proportional to 6.52, 9.78 and 4.52

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Solution

The fourth proportional to 6.52, 9.78 and 4.52 is: 6.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.52 : 9.78 = 4.52 : x
  2. Step 2: Convert to fraction form
    6.52/9.78 = 4.52/x
  3. Step 3: Cross multiply
    6.52x = 9.78 × 4.52
  4. Step 4: Simplify right side
    6.52x = 44.21
  5. Step 5: Solve for x
    x = 44.21/6.52
  6. Step 6: Final answer
    x = 6.78

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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.