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Finding the Fourth Proportional to 6,568.49, 9,849.78 and 1,887.44

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Solution

The fourth proportional to 6,568.49, 9,849.78 and 1,887.44 is: 2,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.49 : 9,849.78 = 1,887.44 : x
  2. Step 2: Convert to fraction form
    6,568.49/9,849.78 = 1,887.44/x
  3. Step 3: Cross multiply
    6,568.49x = 9,849.78 × 1,887.44
  4. Step 4: Simplify right side
    6,568.49x = 18,590,819.51
  5. Step 5: Solve for x
    x = 18,590,819.51/6,568.49
  6. Step 6: Final answer
    x = 2,830.30

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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.