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Finding the Fourth Proportional to 6,650.84, 9,975.49 and 1,720.10

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Solution

The fourth proportional to 6,650.84, 9,975.49 and 1,720.10 is: 2,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.84 : 9,975.49 = 1,720.10 : x
  2. Step 2: Convert to fraction form
    6,650.84/9,975.49 = 1,720.10/x
  3. Step 3: Cross multiply
    6,650.84x = 9,975.49 × 1,720.10
  4. Step 4: Simplify right side
    6,650.84x = 17,158,786.17
  5. Step 5: Solve for x
    x = 17,158,786.17/6,650.84
  6. Step 6: Final answer
    x = 2,579.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.