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Finding the Fourth Proportional to 11,774.46, 16,248.20 and 6,469.34

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Solution

The fourth proportional to 11,774.46, 16,248.20 and 6,469.34 is: 8,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.46 : 16,248.20 = 6,469.34 : x
  2. Step 2: Convert to fraction form
    11,774.46/16,248.20 = 6,469.34/x
  3. Step 3: Cross multiply
    11,774.46x = 16,248.20 × 6,469.34
  4. Step 4: Simplify right side
    11,774.46x = 105,115,130.19
  5. Step 5: Solve for x
    x = 105,115,130.19/11,774.46
  6. Step 6: Final answer
    x = 8,927.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.