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Finding the Fourth Proportional to 7,627, 11,442.42 and 2,155

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Solution

The fourth proportional to 7,627, 11,442.42 and 2,155 is: 3,233.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627 : 11,442.42 = 2,155 : x
  2. Step 2: Convert to fraction form
    7,627/11,442.42 = 2,155/x
  3. Step 3: Cross multiply
    7,627x = 11,442.42 × 2,155
  4. Step 4: Simplify right side
    7,627x = 24,658,415.10
  5. Step 5: Solve for x
    x = 24,658,415.10/7,627
  6. Step 6: Final answer
    x = 3,233.04

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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.