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Finding the Fourth Proportional to 6,650.69, 9,975.97 and 2,546.69

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Solution

The fourth proportional to 6,650.69, 9,975.97 and 2,546.69 is: 3,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.69 : 9,975.97 = 2,546.69 : x
  2. Step 2: Convert to fraction form
    6,650.69/9,975.97 = 2,546.69/x
  3. Step 3: Cross multiply
    6,650.69x = 9,975.97 × 2,546.69
  4. Step 4: Simplify right side
    6,650.69x = 25,405,646.79
  5. Step 5: Solve for x
    x = 25,405,646.79/6,650.69
  6. Step 6: Final answer
    x = 3,820.00

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1.5x scale

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.