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Finding the Fourth Proportional to 6,559.97, 9,839.90 and 1,880.09

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Solution

The fourth proportional to 6,559.97, 9,839.90 and 1,880.09 is: 2,820.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.97 : 9,839.90 = 1,880.09 : x
  2. Step 2: Convert to fraction form
    6,559.97/9,839.90 = 1,880.09/x
  3. Step 3: Cross multiply
    6,559.97x = 9,839.90 × 1,880.09
  4. Step 4: Simplify right side
    6,559.97x = 18,499,838.99
  5. Step 5: Solve for x
    x = 18,499,838.99/6,559.97
  6. Step 6: Final answer
    x = 2,820.11

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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.