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Finding the Fourth Proportional to 6,447, 9,674.82 and 2,343

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Solution

The fourth proportional to 6,447, 9,674.82 and 2,343 is: 3,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447 : 9,674.82 = 2,343 : x
  2. Step 2: Convert to fraction form
    6,447/9,674.82 = 2,343/x
  3. Step 3: Cross multiply
    6,447x = 9,674.82 × 2,343
  4. Step 4: Simplify right side
    6,447x = 22,668,103.26
  5. Step 5: Solve for x
    x = 22,668,103.26/6,447
  6. Step 6: Final answer
    x = 3,516.07

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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.