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Finding the Fourth Proportional to 6,810.82, 9,399.51 and 3,827.39

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Solution

The fourth proportional to 6,810.82, 9,399.51 and 3,827.39 is: 5,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810.82 : 9,399.51 = 3,827.39 : x
  2. Step 2: Convert to fraction form
    6,810.82/9,399.51 = 3,827.39/x
  3. Step 3: Cross multiply
    6,810.82x = 9,399.51 × 3,827.39
  4. Step 4: Simplify right side
    6,810.82x = 35,975,543.58
  5. Step 5: Solve for x
    x = 35,975,543.58/6,810.82
  6. Step 6: Final answer
    x = 5,282.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.