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Finding the Fourth Proportional to 9,174, 13,752.73 and 3,326.50

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Solution

The fourth proportional to 9,174, 13,752.73 and 3,326.50 is: 4,986.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174 : 13,752.73 = 3,326.50 : x
  2. Step 2: Convert to fraction form
    9,174/13,752.73 = 3,326.50/x
  3. Step 3: Cross multiply
    9,174x = 13,752.73 × 3,326.50
  4. Step 4: Simplify right side
    9,174x = 45,748,456.35
  5. Step 5: Solve for x
    x = 45,748,456.35/9,174
  6. Step 6: Final answer
    x = 4,986.75

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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.