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Finding the Fourth Proportional to 6,347, 9,520.62 and 2,243

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Solution

The fourth proportional to 6,347, 9,520.62 and 2,243 is: 3,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,347 : 9,520.62 = 2,243 : x
  2. Step 2: Convert to fraction form
    6,347/9,520.62 = 2,243/x
  3. Step 3: Cross multiply
    6,347x = 9,520.62 × 2,243
  4. Step 4: Simplify right side
    6,347x = 21,354,750.66
  5. Step 5: Solve for x
    x = 21,354,750.66/6,347
  6. Step 6: Final answer
    x = 3,364.54

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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.