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Finding the Fourth Proportional to 10,922.38, 15,074.10 and 6,730.63

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Solution

The fourth proportional to 10,922.38, 15,074.10 and 6,730.63 is: 9,289.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.38 : 15,074.10 = 6,730.63 : x
  2. Step 2: Convert to fraction form
    10,922.38/15,074.10 = 6,730.63/x
  3. Step 3: Cross multiply
    10,922.38x = 15,074.10 × 6,730.63
  4. Step 4: Simplify right side
    10,922.38x = 101,458,114.31
  5. Step 5: Solve for x
    x = 101,458,114.31/10,922.38
  6. Step 6: Final answer
    x = 9,289.02

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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.