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Finding the Fourth Proportional to 9,771, 14,658.82 and 3,197.18

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Solution

The fourth proportional to 9,771, 14,658.82 and 3,197.18 is: 4,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771 : 14,658.82 = 3,197.18 : x
  2. Step 2: Convert to fraction form
    9,771/14,658.82 = 3,197.18/x
  3. Step 3: Cross multiply
    9,771x = 14,658.82 × 3,197.18
  4. Step 4: Simplify right side
    9,771x = 46,866,886.13
  5. Step 5: Solve for x
    x = 46,866,886.13/9,771
  6. Step 6: Final answer
    x = 4,796.53

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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.