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Finding the Fourth Proportional to 7,167.74, 10,751.54 and 2,237.42

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Solution

The fourth proportional to 7,167.74, 10,751.54 and 2,237.42 is: 3,356.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.74 : 10,751.54 = 2,237.42 : x
  2. Step 2: Convert to fraction form
    7,167.74/10,751.54 = 2,237.42/x
  3. Step 3: Cross multiply
    7,167.74x = 10,751.54 × 2,237.42
  4. Step 4: Simplify right side
    7,167.74x = 24,055,726.32
  5. Step 5: Solve for x
    x = 24,055,726.32/7,167.74
  6. Step 6: Final answer
    x = 3,356.11

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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.