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Finding the Fourth Proportional to 6.54, 9.80 and 5.03

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Solution

The fourth proportional to 6.54, 9.80 and 5.03 is: 7.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.54 : 9.80 = 5.03 : x
  2. Step 2: Convert to fraction form
    6.54/9.80 = 5.03/x
  3. Step 3: Cross multiply
    6.54x = 9.80 × 5.03
  4. Step 4: Simplify right side
    6.54x = 49.26
  5. Step 5: Solve for x
    x = 49.26/6.54
  6. Step 6: Final answer
    x = 7.53

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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.