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Finding the Fourth Proportional to 10,977, 15,148.26 and 6,009

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Solution

The fourth proportional to 10,977, 15,148.26 and 6,009 is: 8,292.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977 : 15,148.26 = 6,009 : x
  2. Step 2: Convert to fraction form
    10,977/15,148.26 = 6,009/x
  3. Step 3: Cross multiply
    10,977x = 15,148.26 × 6,009
  4. Step 4: Simplify right side
    10,977x = 91,025,894.34
  5. Step 5: Solve for x
    x = 91,025,894.34/10,977
  6. Step 6: Final answer
    x = 8,292.42

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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.