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Finding the Fourth Proportional to 7.09, 9.77 and 5.47

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Solution

The fourth proportional to 7.09, 9.77 and 5.47 is: 7.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.09 : 9.77 = 5.47 : x
  2. Step 2: Convert to fraction form
    7.09/9.77 = 5.47/x
  3. Step 3: Cross multiply
    7.09x = 9.77 × 5.47
  4. Step 4: Simplify right side
    7.09x = 53.38
  5. Step 5: Solve for x
    x = 53.38/7.09
  6. Step 6: Final answer
    x = 7.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.