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Finding the Fourth Proportional to 7,425, 11,138.14 and 1,953

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Solution

The fourth proportional to 7,425, 11,138.14 and 1,953 is: 2,929.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425 : 11,138.14 = 1,953 : x
  2. Step 2: Convert to fraction form
    7,425/11,138.14 = 1,953/x
  3. Step 3: Cross multiply
    7,425x = 11,138.14 × 1,953
  4. Step 4: Simplify right side
    7,425x = 21,752,787.42
  5. Step 5: Solve for x
    x = 21,752,787.42/7,425
  6. Step 6: Final answer
    x = 2,929.67

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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.