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Finding the Fourth Proportional to 6,568.51, 9,829.65 and 4,104.49

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Solution

The fourth proportional to 6,568.51, 9,829.65 and 4,104.49 is: 6,142.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.51 : 9,829.65 = 4,104.49 : x
  2. Step 2: Convert to fraction form
    6,568.51/9,829.65 = 4,104.49/x
  3. Step 3: Cross multiply
    6,568.51x = 9,829.65 × 4,104.49
  4. Step 4: Simplify right side
    6,568.51x = 40,345,700.13
  5. Step 5: Solve for x
    x = 40,345,700.13/6,568.51
  6. Step 6: Final answer
    x = 6,142.29

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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.