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Finding the Fourth Proportional to 7,167.78, 10,750.86 and 2,237

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Solution

The fourth proportional to 7,167.78, 10,750.86 and 2,237 is: 3,355.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.78 : 10,750.86 = 2,237 : x
  2. Step 2: Convert to fraction form
    7,167.78/10,750.86 = 2,237/x
  3. Step 3: Cross multiply
    7,167.78x = 10,750.86 × 2,237
  4. Step 4: Simplify right side
    7,167.78x = 24,049,673.82
  5. Step 5: Solve for x
    x = 24,049,673.82/7,167.78
  6. Step 6: Final answer
    x = 3,355.25

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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.