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Finding the Fourth Proportional to 15,790.96, 23,697 and 6,556.96

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Solution

The fourth proportional to 15,790.96, 23,697 and 6,556.96 is: 9,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,790.96 : 23,697 = 6,556.96 : x
  2. Step 2: Convert to fraction form
    15,790.96/23,697 = 6,556.96/x
  3. Step 3: Cross multiply
    15,790.96x = 23,697 × 6,556.96
  4. Step 4: Simplify right side
    15,790.96x = 155,380,281.12
  5. Step 5: Solve for x
    x = 155,380,281.12/15,790.96
  6. Step 6: Final answer
    x = 9,839.82

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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.